Use the remainder theorem to determine if x = 2 is a zero of the following polynomial, and find the quotient and the remainder.
p(x) = x3 + 24x2 + 108x - 320

Use The Remainder Theorem To Determine If X = 2 Is A Zero Of The Following Polynomial, And Find The Quotient

Answers

Answer 1

Answer:

(A) Yes, x = 2 is a zero of the polynomial.

The quotient is x² + 26x + 160 and the remainder is 0

Step-by-step explanation:

Given;

p(x) = x³ + 24x² + 108x - 320

Using remainder theorem to test if x = 2 is a zero of the given function

p(2) = (2)³ + 24(2)² + 108(2) - 320

       = 8 + 96 + 216 - 320

        = 0

Thus, x = 2 is zero of the function

(ii) to get the quotient and the remainder of the given function, divide the function by 'x - 2'

                     x² + 26x + 160

     x - 2    √ x³ + 24x² + 108x - 320

                 -  (x³ -  2x²)                      

                     0   + 26x² + 108x - 320

                          - (26x²  - 52x)                  

                               0      + 160x - 320

                                        -  (160x - 320)        

                                              0     +   0  

The quotient is x² + 26x + 160

The remainder is 0                      

                                                 

Thus, the correct option is A.

Yes, x = 2 is a zero of the polynomial.

The quotient is x² + 26x + 160 and the remainder is 0            


Related Questions

Juanita works in a bakery. She uses 10 eggs to make 3 cakes, 16 eggs to make 5 cakes, and 25 eggs to make 8 cakes. What rule does Juanita follow when she bakes cakes?


A. c = 3e + 4

B. e = c + 7

C. e = 3c + 1

D. c = 3e + 2

Answers

Answer:

ur answr is C)e = 3c + 1

Step-by-step explanation:

if u take ur number of cakes times 3 and add one, you get the rite amount of eggs each time.

Hope this helps!! Pls mark me brainliest!!

The product of 3 and r

Answers

Answer and Step-by-step explanation:

The product of something is when two things multiply each other.

The product of 3 and r would then be 3r.

This is because we are multiplying 3 by r, which results in 3r.

#teamtrees #WAP (Water And Plant)

The product of 3 and r is 3r.

Product of 3 and r is to determine.

What is product?

Product of two values or more is the number of times one value to the other.

Here,
Product can be given as
= 3 x r
= 3r

Thus, The product of 3 and r is 3r.

Learn more about product here:
https://brainly.com/question/22852400

#SPJ2

please answer quickly
geometry reflections translation: (x, y)->(x+2, y- 1)
H(-2, 4), 1(0,5), H3, 2)

Answers

Answer:

H'(0, 3); I'(2, 4); J'(5, 1)

Step-by-step explanation:

H'(-2+2,4-1)

H'(0, 3)

I'(0+2, 5-1)

I'(2, 4)

J'(3+2, 2-1)

J'(5, 1)

Tom buys some shirts for $15 each. He has a coupon for $9 off the total price. If he pays $36, how many shirts, s, did he buy? Choose the correct equation to solve.
1 point

Answers

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3*15 = 45

45-9 = 36, so he has enough money

The difference of 10 and 3 times x .

Answers

Answer:

10-3x      that would be 7x

Step-by-step explanation:

10-3=7

7times x=7x

can i plz have brainliest?

plz?

19(2m−16)=13(2m+4) (pls helppp)

Answers

Answer:

Simplified this is -304 + 38m = 52 + 26m

m in the equation is 29 2/3

Step-by-step explanation:

Reorder the terms:

19(-16 + 2m) = 13(2m + 4)

(-16 * 19 + 2m * 19) = 13(2m + 4)

(-304 + 38m) = 13(2m + 4)

Reorder the terms:

-304 + 38m = 13(4 + 2m)

-304 + 38m = (4 * 13 + 2m * 13)

-304 + 38m = (52 + 26m)

Simplfied answer:

-304 + 38m = 52 + 26m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-26m' to each side of the equation.

-304 + 38m + -26m = 52 + 26m + -26m

Combine like terms: 38m + -26m = 12m

-304 + 12m = 52 + 26m + -26m

Combine like terms: 26m + -26m = 0

-304 + 12m = 52 + 0

-304 + 12m = 52

Add '304' to each side of the equation.

-304 + 304 + 12m = 52 + 304

Combine like terms: -304 + 304 = 0

0 + 12m = 52 + 304

12m = 52 + 304

Combine like terms: 52 + 304 = 356

12m = 356

Divide each side by '12'.

m = 29.66666667

Simplifying

m = 29.66666667 = 29 2/3

rewrite as a monomial in its standard form:

-(3xy)^2 * (-3x)^3

Answers

Your answer is: 243x^5y^2

Merry Christmas and I hope this helps!!

Katherine invested $86,000 in an account paying an interest rate of 52%
compounded daily. Michael invested $86,000 in an account paying an interest rate of
5% compounded continuously. After 13 years, how much more money would
Katherine have in her account than Michael, to the nearest dollar?

Answers

Answer: $4,331‬

Step-by-step explanation:

I will assume that the question meant 5.2% not 52% as this is quite excessive.

Katherine after 13 years.

Convert the variables;

n = 13 years = 13 * 365 = ‭4,745‬ days

r = 5.2% = 5.2/365 = 5.2/365%

Future value = P * ( 1 + r)^n

= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵

= $169,068

Michael after 13 years;

If compounded continuously, the formula is;

Future value = Pe^rt

= 86,000 * e⁰.⁰⁵ ˣ ¹³

= $164,737

Difference = 169,068 - 164,737

= $4,331‬

Write the point-slope form of the given line that passes through the points (0, -3) and (4, 1). Identify (x1, y1) as (0, -3). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer:

X1=0

Y1=-3

X2=4

Y2=1

Slope=(y2-y1)/(x2-x1)

Slope=(1-(-3))/(4-0)

Slope=4/4

Slope=1

Step-by-step explanation:

A particular lawn mower is on sale at two different stores. The original price at both stores was $130. Watson’s Garden Shop is advertising the mower for 50% off. Hartman’s Home Center reduced the mower 40%, and then took an additional 15% off the reduced price. Which lawn mower is the better deal?

Answers

Answer:

130$

Step-by-step explanation:

A social studies teacher orders several large maps for his classroom. The maps are to be shipped in a cylindrical
mailing package with a radius of 3 inches and a volume of 1,356.48 cubic inches.
What is the height of the mailing package? Use 3.14 for pi
A. 36 inches
В. 48 inches
C. 144 inches
D. 72 inches

Answers

A.) 36 inches is the right answer

PLEASE HELP! 40 POINTS! How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? (The proportion is: 7/8 = x/24)


a.Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.

b.Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.

c.Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.

d.Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answers

Answer:

as isyllus says, Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation:

We given the fraction to be solved:

Using cross multiplication method:

i.e. Numerator of Left Hand Side term to be multiplied with Denominator of Right Hand Side term and put equal to multiplication of denominator of Left Hand Side term to Numerator of Right Hand Side term.

So, the first step to be carried out as per cross multiplication method:

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation:

plzzz help meeWhich of these copper wires has the

highest resistance?

A 0.5 mm diameter, 10 cm long

B 0.5 mm diameter, 20 cm long

C 1.0 mm diameter, 10 cm long

D 1.0 mm diameter, 20 cm long

Answers

Answer:

A. option is your answer.

... hope it helps you friend ❤️

.....and please follow me

Find the value of 7 + 3↑2 (-5 + 1) ÷ 2.

Answers

Answer:

-11

Step-by-step explanation:

7 + 3↑2 (-5 + 1) ÷ 2

7 +  3↑2(-4)  ÷ 2

7+9(-4) ÷ 2

7+(-36) ÷ 2

7-18

-11

Answer:

Im not sure what the arrow is for but

7 + 3.2 (-5 + 1) ÷ 2= 8.2

Step-by-step explanation:

7+3.2=10.2

(-5+1)÷2= -2

-2+10.2= 8.2

ANSWER: 8.2

Write the truth value (T/F) of each of the following statements:
(1)The general of two similar figures are the same.
(2)The corresponding angles of two similar figures are congruent.
(3)The perimeter of two similar figures are always congruent.
(4)The side lengths of two similar figures are always congruent.
(5)The areas of two similar figures are always congruent.

Please help, i’ll give brainlist! :))

Answers

Answer:

False,True,True,True,True I think

What is 0.7439 rounded to the nearest hundredth need help

Answers

Answer:

0.74

Step-by-step explanation:

0.7439 = 0.74

If b=5 and c=2 what is for the missing side a= ? by Use the Pythagorean Theorem to find

Answers

Answer:

4.58

Step-by-step explanation:

Using the formula

a^2=(c^2)-(b^2)

a^2=(5^2)-(2^2)

a^2=25-4

a^2=21

Using Square root on Both Sides

a=4.58

The answer is: 4:58

PLEASE MARK BRAINLIEST

It takes 12 hours to fill a pool with two pipes, where the water in one pipe flows three times as fast as the other pipe. How long will it take the slower pipe to fill the pool by itself

Answers

I think it’s 72hours

7th grade math help me pleaseee

Answers

no, -6+2= -4

not -6 +(-2)

HURRY I ONLY HAVE 3 MINUTES

Answers

Answer:3rd one down

Step-by-step explanation

Answer:

The answer is the 2nd option [tex]h(x) = \sqrt[3]{x+2}[/tex]

Step-by-step explanation:

The parent cube root function intersects the origin (0,0). Putting a positive two with the x under the cube root moves the function 2 units to the left. So the second answer is correct.

find the slope of the line that passes through (48,44) and (6,9)


Answers

The slope is 0.8 if that’s what you’re talking about
It’s 35/42 my work is in the picture

phrases can be used to represent the inequality 6.5x+ 1.5 s 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The product of 6.5 and a number, when increased by 1.5, is at most 21. The sum of 1.5 and the product of 6.5 and a number is at least 21. Save and Exit Net Mark this and return​

Answers

This question is incomplete

Complete Question

Phrases can be used to represent the inequality 6.5x+ 1.5 ≤ 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The sum of 1.5 and the product of 6.5 and a number is at least 21.

Answer:

The product of 6.5 and a number, when increased by 1.5, is at most 21.

The product of 6.5 and a number, when increased by 1.5, is below 21.

Step-by-step explanation:

We are given the inequality is: 6.5x+ 1.5 ≤ 21

The sign ≤ is known as Less than or equal to.

≤ can also be said to be = at most

Therefore, the Phrases that represents the inequality

6.5x+ 1.5 ≤ 21 is:

* The product of 6.5 and a number, when increased by 1.5, is at most 21.

* The product of 6.5 and a number, when increased by 1.5, is below 21.

Answer:

b and c

Step-by-step explanation:

Help plz ASAP

To convert a distance of 12,000 feet to miles, which ratio could you multiply
by?
A.
5280 feet
1 mile
B.
1 foot
5280 miles
C.
12 inches
1 foot
D.
1 mile
5280 feet

Answers

Answer:

B.

Step-by-step explanation:

30 POINTS!!!!
A scuba diver is swimming at a depth of 46 meters below sea level. He swims 0.5 meters toward the surface every 3 seconds.

What is his location relative to the surface after 15 seconds?

Answers

he is at sea level 43.5 i am pretty sure

Answer:

The scuba diver would be 43.5 meters from the surface after 15 seconds

Step-by-step explanation:

So first we need to take 0.5 and multiply it by 5 since we know 15 divided by 3 is equal to 5, and we get 2.5

We then take 46 and subtract 2.5 from it, resulting in 43.5

What is the solution of the equation: - 7 – x = 20

Answers

Step-by-step explanation:

Given

- 7 - x = 20

- x = 20 + 7

- x = 27

therefore x = - 27.

A trader paid 15 for 6 drinking cups. One of the cups got broken. He sold the remaining five, making a profit of 10percent calculates the cost of each of the six cups ​

Answers

Answer:

The cost of each of the six cups is 2.50.

Step-by-step explanation:

The cost of each of the six cups can be calculated as follows:

Cost per cup = Total cost / Number of cups paid for ................. (1)

Where;

Cost per cup = ?

Total cost of cups = 15

Number of cups paid for = 6

Substituting the values into equation (1), we have:

Cost per cup = 15 / 6

Cost per cup = 2.50

Therefore, the cost of each of the six cups is 2.50.

Combine into a single logarithm.

3log(x+y)+2log(x-y)-log(x^2 +y^2)

Answers

Answer:

[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]

solving to write into a single logarithm

[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex]

[tex]3\log _{10}\left(x+y\right)=\log _{10}\left(\left(x+y\right)^3\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex]

[tex]2\log _{10}\left(x-y\right)=\log _{10}\left(\left(x-y\right)^2\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)[/tex]

[tex]\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)-\log _c\left(b\right)=\log _c\left(\frac{a}{b}\right)[/tex]

[tex]\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

[tex]=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Thus,

[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

BRUH I NEED HELP PLEASE !!!
Enter your answer as a whole number or a fraction in simplest form

Answers

the slope would be 1/4

if you count up one and over four from the first point, you’ll get to the second point, and slope equals rise over run

Answer:

what was the zoom thing again???

Step-by-step explanation:

Solve for x:16^(4x-3)=8^(2x+4)

Answers

Answer:

x = 2.4

Step-by-step explanation:

16^(4x - 3) = 8 ^ (2x + 4)

16 = 2^4

8 = 2^3

2 ^ 4*(4x - 3) = 2^3(2x + 4)

Since the bases are the same, you can equate the powers

4(4x - 3) + 3*(2x + 4)           Remove the brackets.

16x - 12 = 6x + 12                 Subtract 6x from both sides

16x - 6x - 12 = 12                Combine the terms on the left

10x - 12 = 12                        Add 12 to both sides

10x = 24                              Divide by 10

x = 2.4

can you help me plaese fast ​

Answers

Step-by-step explanation:

Divided by zero is undefined. Hence B is the answer.

Answer:

the answer is B

Step-by-step explanation:

A number divided to 0 is undefined

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