Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)

Answers

Answer 1

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:

2 / 2 -3 -3 2

4 2 -2

-------------------------------

2 1 -1 0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:

-1 / 2 1 -1

-2 1

---------------------

2 -1 0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.

Answer 2

The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

What are Polynomials?

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:

2 / 2 -3 -3 2

4 2 -2

-------------------------------

2 1 -1 0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:

-1 / 2 1 -1

-2 1

---------------------

2 -1 0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.

Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.

Know more about Polynomials here:

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Related Questions

There is a sale on Blu-rays in a local shop – 20% off selected items. Your favorite Blu-ray before the sale cost $18. How much will you save? How much will you pay?

Answers

Answer:

save $3.6, pay $14.4

Step-by-step explanation:

A cd costs $18

If there is a 20% discount, you only have to pay 80% of the original price.

This means you only have to pay (0.80 x $18=) $14.4 dollars, which means you saved ($18 - $14.4=) $3.6.

Or you could just do $18 x 0.20 = $3.6

Find the missing angle.
20°

80°

Answers

Answer:

Step-by-step explanation:

20, 40,80 is a 2 xdregre angle

40. Hope this helps!

On sports day at Lakewood middle school, gold, silver, and bronze medals were awarded to the top three finishers in each event Miniature replicas of the medals were sold as souvenirs in booths around the field. For $26, attendees could purchase a package containing 5 gold, 4 silver, and 2 bronze replicas, or one containing 4 gold, 4 silver, and 4 bronze replicas, or one that had 3 gold, 4 silver, and 6 bronze replicas. Which system of equations may be used to find the price, in dollars, of each type of replica?

Answers

Answer:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

Step-by-step explanation:

Given

Represent Gold with G, Silver with S and Bronze with B

Required

Determine the system of equations

The packages are represented as:

The first: 5G + 4S + 2B

The second: 4G + 4S + 4B

The third: 3G + 4S + 6B

Each of the package costs $26.

So, we have:

[tex]5G + 4S + 2B = 26[/tex] -- (1)

[tex]4G + 4S + 4B = 26[/tex] -- (2)

[tex]3G + 4S + 6B = 26[/tex] -- (3)

Divide both sides of (2) by 2

[tex]4G + 4S + 4B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

So, the system of equations are:

[tex]5G + 4S + 2B = 26[/tex]

[tex]2G + 2S + 2B = 13[/tex]

[tex]3G + 4S + 6B = 26[/tex]

It takes a landscaper 75 minutes to plant a tree. He spent a total of 450 minutes planting trees
one day. Using t to represent the number of trees he planted, which equation can be used to
represent this situation? How many trees did the landscaper plant that day

Answers

Answer:

450 divided by 75 = t

he plated 6 trees

Step-by-step explanation:

Answer: 75t = 450 ; 6 trees

Step-by-step explanation:

To get t by itself, we have to divide 75t by 75. 75t ÷ 75 = t

You also divide the other side by 75 to keep the sides equal. 450 ÷ 75 = 6 trees

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Uri has 22 same-sized circles that are divided into different numbers of equal-sized parts. He shades 1/5 of the first circle. The second circle has three times as many parts as the first circle. Uri shades an equivalent fraction of the second circle. What fraction of the second circle does Uri shade?

Answers

Answer:

The fraction of the second circle does Uri shade = [tex]\frac{1}{15}[/tex]

Step-by-step explanation:

As given,

Total number of same sized circle = 22

In first circle :

He shades [tex]\frac{1}{5}[/tex] of the first circle.

⇒ He divide the first circle in 5 parts and shaded 1 part.

Now,

The second circle has three times as many parts as the first circle.

⇒Total parts of second circle = 3 × 5 = 15

Now,

Given that Uri shades an equivalent fraction of the second circle.

⇒Uri shade second circle = [tex]\frac{1}{15}[/tex]

∴ we get

The fraction of the second circle does Uri shade = [tex]\frac{1}{15}[/tex]

Select the pair of terms that are NOT like terms. a) 3x2 , 3x3 b) -7xy, -9yx c) 8b, -0.5b d) -p2q2 , (pq)2

Answers

Answer:

b), c), d)

Step-by-step explanation:

Like terms are terms that have same variables with same powers.

[tex]3x^2,3x^3[/tex] have same variable [tex]x[/tex] with different powers.

So, [tex]3x^2,3x^3[/tex] are not like terms.

b) [tex]-7xy,-9yx[/tex]

Power of [tex]x[/tex] in each of the terms = 1

Power of [tex]y[/tex] in each of the terms = 1

[tex]-7xy,-9yx[/tex] are terms that have same variables [tex]\{x,y\}[/tex] with same powers.

So, [tex]-7xy,-9yx[/tex] are like terms.

c) [tex]8b,-0.5b[/tex]

Power of [tex]b[/tex] in each of the terms = 1

[tex]8b,-0.5b[/tex] are terms that have same variable [tex]b[/tex] with same power.

So, [tex]8b,-0.5b[/tex] are like terms.

d) [tex]-p^2q^2,(pq)^2=p^2q^2[/tex]

Power of [tex]p[/tex] in each of the terms = 1

Power of [tex]q[/tex] in each of the terms = 1

[tex]-p^2q^2,(pq)^2[/tex] are terms that have same variables [tex]\{p,q\}[/tex]with same powers.

So, [tex]-p^2q^2,(pq)^2[/tex] are like terms

Please help I need it ASAP!!

Answers

Answer:

5+z=190....././......

Answer the question provided in the picture below.

Answers

Answer: see the explanation

Step-by-step explanation:The perimeter is the distance around the outside of a shape. Perimeter is measured in units (e.g., cm). The area is the amount of space the inside of the shape takes up. Area is measured in square units (e.g., cm2).

1×2×3×4×5×6×7×8×9×10=

Answers

Answer:

just use a calc

Step-by-step explanation:

Jesse made a list of chores he needed to complete before his father came home from work and he showed the time it would take him to complete each chore.

If Jesse's father is expected home at 6:10 p.m., what is the latest time Jesse could begin his chores?

A. 3;45 p.m.
B. 3:55 p.m.
C. 4:05 p.m.
D. 4:15 p.m.

Answers

I believe it is 3:45.

Answer:

3:55 pm

Step-by-step explanation:

Lets add all the time duration of each chore to know the overall time taken to complete all the chores .

Total time taken to finish the chores :-

5 + 25 + 30 + 60 + 15 = 135 mins or 2hr 15 min

If Jesse's father is expected to come at 6:10 pm , the exact time he should begin his chores is :-

6:10 - 2:15 = 3:55 pm

find the value of X

Answers

the value of x would be 7

Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos?

Answers

4x + 3

Answer:

The answer would be 4(3x).

Step-by-step explanation:

4 times: 4(_)

The sum of 3 and x: 3x

4(_)+3x = 4(3x).

15 POINTS!!
answer the question in the picture

Answers

Answer:

10, 0, 2.

Step-by-step explanation:

It means that the number is greater than -3.

So, 10, 0, 2, are all greater than -3, and all the other numbers are smaller. So 10, 0, 2 are the numbers that are part of the solution for x>-3.

Answer:

First, reduce 20(mod 9) to its simplest form in mod 9; 9 x 2 + 2 = 2(mod 9)

If 2(mod 9) y(mod 6), then y = 2 by comparism

Hope it helped!!!

8/9i+12=2/9i+34 (solve for a)

Answers

Answer: I=33, O and when you said solve for a I don’t see a, I see i and that all...if you know what I mean

Step-by-step explanation: hope this help

Plzzz solve for x
X/3=5/4

Answers

Answer: x=3.75 or 15/4

Step-by-step explanation:

Multiply both sides by 3

3(x) / 3 = 5x3/4

x= 15/4 or 3.75

Answer:

exact form:15/4

Step-by-step explanation:

decimal form:3.75

mixed number: 3 3/4

just in case you need any different forms :)

x*4/4=3*5/4 divide both sides of equation by 4

cancel 4 with 4=x

multiply 3 and 5 =15/4

Portland, OR is 180 miles away from Seattle, WA. If it takes a driver 3 hours to drive from Portland to Seattle, what is the driver's average rate of speed? ill mark brainliest please help this is my final grade

Answers

Answer:

60km/h

Step-by-step explanation:

The average rate of speed is total distance divided by total time. Therefore 180miles / 3 hours is 60mph.

I NEED THIS DONE ASAP PLS-

ok so i completely forgot how to do long division, and my hand writing sucks ik, sooo i need help pls! q-q

I SWEAR I WILL GIVE THE BRAINLY CROWN THINGY!! (and 20 points)

Answers

Answer:

you wrote that wrong cause ur answer is 0.01225490196

Step-by-step explanation:

Answer:

The answer is 321.6

Step-by-step explanation:

We have to go step by step when we are solving this.

Lets think of it like this

Does 25 go into 8? No! So lets put a 0 on the top (I see you already did that so good start)

Does 25 go into 80? Yes! How many times though? 3 times; So lets put a 3 on the top (Our top should look like 03) Since 25 goes into 80 3 times we need to multiply 25 and 3.

25x3= 75 -> Subtract that 75 from 80

Now we have a remainder of 5. We are going to bring down the 4 so it can be a complete number, and now it would be 54.

Does 25 go into 54? Yes! How many times? 2 times; So lets put a 2 on the top (Our top should look like 032) Since 25 goes into 54 2 times we have to multiply 25 and 2.

25x2=50 -> subtract that 50 from 54 -> 54-50=4

Now we have a remainder of 4. Bring down the last number, 0 and now we should be with 40.

Does 25 go into 40? Yes! How many times? 1 time; therefore we will just be subtracting 25 from 40. (our top should look like 0321)

40-25= 15 -> we have a remainder of 15. 25 can't go into 15 because 15 is too small. Therefore we are going to have to make a decimal. So on the top add a decimal after 1 and bring down an invisible 0. (Our top looks like this 0321.)

Does 25 go into 150? Yes! How many times? 6 times; so lets multiply 25 and 6 and then subtract that from our 150 that is down there.

25*6= 150

150-150= 0

THAT MEANSSSSS..... our answer is 321.6! P.S yes drop that 0!

Hopefully this helped

The ratio of petunias to geraniums in the green house was 15 to 2. The combined number of of petunias and geraniums was 1020. How many geraniums were in the green house

Answers

Answer:

136

Step-by-step explanation:

divide 1020 by 15 = 68. 68 x 2 is 136

Determine if the expression 10b^2 + b^3/6+ b^5 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Answers

Answer:

Yes it is a polynomial, Degree: 5, Type: Trinomial

Hope this helps!

Answer:poly of 5

Step-by-step explanation:

mono

Given: A regular hexagon; M is the midpoint of angle NO and RP. Prove: Angle NRM = Angle OPM

Answers

Answer:

Step-by-step explanation:

Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.

So that;

NR ≅ OP (property of a regular polygon)

PM ≅ RM (half of the distance across flats of a polygon)

NM ≅ OM (half of the distance across flats of a polygon)

<NMR ≅ <PMO (vertically opposite angles)

<NRM ≅ <OPM (alternate angle property)

<RNM ≅ <POM (alternate angle property)

This therefore proves that: ΔNRM = ΔOPM

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Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)​

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Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)