Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.

Answers

Answer 1

Answer:

(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]

Step-by-step explanation:

[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]

Answer 2
I’m gonna use the remainder theorem so if a polynomial p(x) is divided by x-a the remainder obtained is p(a) therefore

X= -5

Then just plug in -5 in the function and if the result is 0 then is a factor

(-5)^3 - 4(-5)^2 + 3(-5) + 7 = -233

Therefore x+5 is not a factor

Related Questions

graph y=3/4x-4 ....……………

Answers

You graph the y-intercept first... The y-intercept is -4 so you go down four units on the y-axis that will be your first point (0,-4). The slope is 3/4 and can be translated as rise over run. rise is numerator run is denominator. From the -4 You rise three units up since its positive three, and then you run 4 units to the right since the 4 is positive. Your second point should be at (4,-1).

The required graph is shown below that represents equation y = (3/4)x - 4.

The equation y = (3/4)x - 4 represents a linear function in slope-intercept form, where the coefficient of x is the slope of the line and the constant term (-4) is the y-intercept.

To graph the equation y = (3/4)x - 4, follow these steps:

Start by plotting the point (0, -4) on the y-axis. This is the point where the line intersects the y-axis.

Since the slope is 3/4, it means that for every 4 units moved to the right along the x-axis, the corresponding y-value moves up 3 units.

From the y-intercept (0, -4), move 4 units to the right and then 3 units up to find another point. This gives us the point (4, -1).

The two points (0, -4) and (4, -1), draw a straight line passing through both points. This line represents the graph of the equation y = (3/4)x - 4.

Learn more about the graph of the equation here:

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Find the sum of — 6x2 – 1 and x + 9.

Answers

The first answer: -6 x 2 - 1 is -13
The second answer: Cancels out there really is no answer for that unless you wanna put 9x and I doubt that’s right! Hope this helps!

Use the number line to find
0+(
8
19
14
0
19
8
OI-2
21
8

Answers

Answer:

put it right in between the 0 and 0.5

Step-by-step explanation:

Answer:

- 19/8 hope you got it right

Evaluate 5.5r8.35s when r12 and s4.

Answers

Answer:

32.6

Step-by-step explanation:

when you plug in for s and r you will get 66-33.4 since 5.5 multiped by 12 is 66 and 8.35 multiplied by 4 is 33.4 .

then you subtract them and that's how you'll get your answer

Mateo’s aunt bought a share of Netflix stock many years ago.



The value of the stock increased by `80\%`.



Its value is now `\$270`.



What was the value of the Netflix stock when Mateo’s aunt bought it?

Answers

Answer:

150

Step-by-step explanation:

80+100=180

270/180=1.5

15*100=150

Answer:

150

Step-by-step explanation:


What is the value of 3-(-2)
A.-5
B.-1
C.1
D.5

Answers

Answer:

5

Step-by-step explanation:

3-(-2)=5

Two negatives are a positive. So 3-(-2)=3+2. And 3+2 is 5.

Answer:

0

Step-by-step explanation:

-5 + -1 = -6

5 + 1 = 6

-6- 6 = 0

Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph that they felt best fit the data. Sylvia’s line is a line of best fit because her line is close to most of the data points . Patrick’s line is not a line of best fit as his line does not fit the data points exactly .

Answers

Answer:

Sylvia’s line is a line of best fit because her line is close to most of the data points. Patrick’s line is not a line of best fit as his line is not close enough to all the data points.

19,212 x 10*2 =
92.3
1932
Help please

Answers

Please make sure your question is formatted correctly and ill answer it for you.

Please explain easily or make sure you have the answer right

Answers

Answer:

D. 5:9

Because it's 5 sixth grade students and 9 seventh grade students so it asked you what is the ratio of sixth grade students to seventh grade students on the team.

Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes

Answers

Answer:

34

Step-by-step explanation:

Subtract and divide

The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

With company x, it cost 35 cents to connect and then 5 cents for each minute.

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Now,

Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.

Hence, The cost for n minutes with company x is,

⇒ 35 + 5n

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Hence, The cost for n minutes with company y is,

⇒ 15 + 4n

Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)

                     = 35 + 5n - 15 - 4n

                     = (20 + n) cents

Learn more about the mathematical expression visit:

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The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that way nine days late. Her sister Sydneys had a fever of $1.92 for a Late book how many days late was a book

Answers

Answer:

16 days

Step-by-step explanation:

108/9 is 12. The late fee is 12¢ per day. 16x12 is 192.

HELP!!

the question is in the picture. i just need question c answered:)​

Answers

Answer:

No, its outside of the equation (shaded drawing)

Step-by-step explanation:

5.
16 yd)
14 yd
6 yd

Answers

are you looking for the perimeter or area or what

The Casey family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

1/6 Gallons a day or .166


Answer:

1/6

Step-by-step explanation:

1/2 divided by 3

Identify the like terms pairs; select all that apply.
8r + 3s + 8 – 3s – 4r

Answers

8r and 4r are like terms since they both have an r

also 3s and -3s are also like terms because of the s

9+(-1)=8 as a subtraction problem

Answers

Answer:

9 - 1 = 8

Step-by-step explanation:

We can simplify the equation by changing 9 +(-1) to 9 - 1, therefore making it a subtraction problem.

In a city in Ohio, the sales tax rate is 7%. What is the sales tax of a pillow that costs $8? *

Answers

Answer:

.56 cent

Step-by-step explanation:

Hope this helped you!! Give brainliest.

what is the area square feet?

Answers

Where’s the question?
Can you revise that in a better way

Find the equation of the line going through the point (4,1) and
parallel to y=-3x+7

Answers

Parallel = same slope
Y = -3x + b
1 = -3(4) + b
1 = -12 + b, b = 13
Equation: y = -3x + 13

HELLLPPPP PLZ! Thank you! (5 screenshots included)

Answers

Answer:

1. C

2. B

3. None of the answers are correct, the answer is y= 3x-1.

4. A

5. C

Hopefully these helped!

Explain why 186,426 Is diviable by both 3 and 9

Answers

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A number is divisible by 9 if the sum of its digits is divisible by 9.

Look :

[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{9} = \frac{27}{9} = 3 \\ [/tex]

Thus 186,426 is divisible by 9 .

_________________________________

Also a number is divisible by 3 if the sum of its digits is divisible by 3.

Look :

[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{3} = \frac{27}{3} = 9 \\ [/tex]

Thus 186,426 is divisible by 3 .

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As part of your retirement, you wish to generate $2,000 monthly payments for a 15-year period. The annual interest rate is 5%. What minimum amount is necessary to fund these payments?

Answers

Answer:

$962.0

Step-by-step explanation:

The formula for amount is ;

[tex]A=P(1+\frac{r}n} )^{nt}[/tex]

where

A= amount at the end of the period= $2000

P=minimum amount necessary to fund the payments

r= annual interest rate = 5% = 0.05

n= number of compounding per year , 1

t= time period = 15 years

Applying the values to the formula as;

[tex]2000=P(1+\frac{0.05}{1} )^{1*15} \\\\\\2000=P(1.05)^{15} \\\\\\2000/2.079=P\\\\\\962.0=P[/tex]

Question 4, I do not understand how they figure It out. Please explain

Answers

5/8 minus 2/5 equals 9/40

Answer:

I saw this hope it helps

Mrs. Hidalgo paid $30 for 4 students to visit an art museum. Find the cost for 20 students.

Answers

Answer:

The cost for 20 students would be $120

Step-by-step explanation:

We know that 4x5=20 therefore we will multiply 30x4 which will give us 120.

Our final answer would be $120

Which number is a solution of the inequality? 8

Answers

Answer:

i need more info or i cannot help

Answer: -1

Step-by-step explanation:Solve: 8(7−x)<64.Divide both sides by 8.7−x<6487−x<8Subtract 7 from both sides.−x<8−7−x<1Multiply both sides by −1. This will reverse the inequality.x>−1

Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?
O 64,0)
O (-2,0)
O (0, 2)
O (4,-2)

Answers

Answer: One of the x-intercepts are (-2,0)

Answer:

(-2,0)

Step-by-step explanation:

Cause I took the quiz <3

3. Twenty-four percent of the 25 swim team members are new on
the tean How many members are des?
A. 6B. 8 C. 10 D. 12

Answers

Answer:

A

Step-by-step explanation:

I got 15, but apparently it isn’t the right answer. Help please!

Answers

the answer would be 20
if you subtract 32 - 12 you get 20 and add 6 + 11 + 3 = 20

what is 1+1 first person gets brainlst if u get wrong no brainlst

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

a carnival booth duck game offer cash prizes. the booth at 75 plastic ducks floating around in a wading pool. 4 ducks have a green stars on the underside, and you win $10 for selecting a duck with a green star. it costs $1 to select a duck. is this a fair game? ​

Answers

Answer:

No, it is not fair

Step-by-step explanation:

Here, we want to check if this is a fair game

To win a sum, a duck with a green star on the underside must be selected

The number of ducks with this is 4 out of 75

The probability of selecting one is 4/75

The expected value of selecting is ;

4/75 * 10 = 0.5333

The cost of selecting a duck is $1

The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467

Since the price to lose and the amount to win is not the same, then the game is not fair

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