Factoring Polynomials Completely

Question 1

(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)Which of the following shows the sum of the polynomials rewritten with like terms grouped together?

Revolt · Accepted Answer

A: [3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)

Question 2

Use the expression below to complete the following tasks.(3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab)What is the additive inverse of the polynomial being subtracted?

Revolt · Accepted Answer

C: 3a2 - 2b2 - 8ab

Question 3

Complete the tasks to subtract the polynomials vertically.(1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t)What is the additive inverse of the polynomial being subtracted?

Revolt · Accepted Answer

B: –0.6t2 + (–8) + 18t

Question 4

The diagram shows the plans for the triangular park. How much longer is BC than AC?

Revolt · Accepted Answer

B: (3x2 – 5x – 12) feet

Question 5

Use your result from the previous task to find the sum.

Revolt · Accepted Answer

B: 3ab + 3b2

Question 6

After you rewrite subtraction as addition of the additive inverse, how can the like terms be grouped?

Revolt · Accepted Answer

C: (3a2 + 3a2) + [–5ab + (–8ab)] + [b2 + (–2b2)]

Question 7

Choose the correct values for A, B, C, and D that align like terms to find the sum vertically. 1.3t3 + 0.4t2 + (–24t)

Revolt · Accepted Answer

B: A = 0t3 B = (–0.6t2) C = 18t D = (–8)

Question 8

Complete the statement. (3a2 – 5ab + b2) – (–3a2 + 2b2 + 8ab) =

Revolt · Accepted Answer

A: 6a² - 13ab - b²

Question 9

What is the difference of the polynomials?

Revolt · Accepted Answer

D: 1.3t³ - 0.2t² - 6t - 8

Question 10

Which equivalent expression would you set up to verify the associative property of addition for(3x + 4) + ((5x2 – 1) + (2x + 6))?

Revolt · Accepted Answer

C: ((3x + 4) + (5x2 – 1)) + (2x + 6)

Factoring Polynomials Completely Answers

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