Factoring Polynomials: Difference of Squares

Question 1

Which expressions represent a perfect square monomial and its square root? Check all that apply.121; 114x2; 2x9x2 – 1; 3x - 125x; 5x49x4; 7x2

Revolt · Accepted Answer

A: 121; 11; B: 4x2; 2x; E: 49x4; 7x2

Question 2

Which board geometrically represents 4x2 – 1 using algebra tiles?

Revolt · Accepted Answer

B: [Image: An algebra tile configuration showing only the pro...]

Question 3

Use the formula a2 – b2 = (a + b)(a – b) to factor completely.What are the factors of 36x8 – 49?

Revolt · Accepted Answer

C: (6x4 – 7)(6x4 + 7)

Question 4

Which expression represents the area of the remaining paper shape in square centimeters?

Revolt · Accepted Answer

C: (3x – 4)(3x + 4)

Question 5

Analyze Cecile’s work. Is it correct?

Revolt · Accepted Answer

D: Yes, Cecile factored the polynomial correctly.

Question 6

What are the factors of x2 – 144?

Revolt · Accepted Answer

B: ✔ (x – 12)

Question 7

(x – 4)(x – 1)(x + 2)✔ (x + 12)

Revolt · Accepted Answer

D: ✔ (x + 12)

Question 8

Consider the polynomial 16x2 – 1.

Revolt · Accepted Answer

What is the value of ac?: –16; What is the value of b?: 0; What two numbers multiply to get ac and add to get b?: –4 and 4; The factored form of 16x2 – 1 is .: (4x– 1)(4x+ 1)

Question 9

Consider the polynomial 16x2 – 1.

Revolt · Accepted Answer

A: ✔ –16

Question 10

–16–1✔ 01

Revolt · Accepted Answer

C: ✔ 0

Factoring Polynomials: Difference of Squares Answers

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