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

121; 11; 4x2; 2x; 49x4; 7x2

Question 2

–16–1✔ 01

Revolt · Accepted Answer

✔ 0

Question 3

–16 and 1–8 and 2✔ –4 and 4–1 and 16

Revolt · Accepted Answer

✔ –4 and 4

Question 4

(x – 16)(x + 1)(x – 4)(x + 4) ✔ (4x– 1)(4x+ 1)(x – 1)(16x + 1)

Revolt · Accepted Answer

✔ (4x– 1)(4x+ 1)

Question 5

What are the factors of x2 – 144?

Revolt · Accepted Answer

✔ (x – 12); and: (x – 12); and: (x + 12)

Question 6

(x – 4)(x – 1)(x + 2)✔ (x + 12)

Revolt · Accepted Answer

✔ (x + 12)

Question 7

Represent the polynomial x2 – 16 geometrically using algebra tiles.

Revolt · Accepted Answer

✔ 4; The equivalent factored form of x2 – 16 is .: (x – 4)(x + 4)

Question 8

(x – 16)(x + 1)(x – 4)(x – 4)(x + 4)(x + 4)✔ (x – 4)(x + 4)

Revolt · Accepted Answer

✔ (x – 4)(x + 4)

Question 9

Complete the factorization of 4x2 – 9.

Revolt · Accepted Answer

✔ 2; 4x2 – 9 = ( x – )( x + ): 2; 4x2 – 9 = ( x – )( x + ): 3

Question 10

1✔ 39

Revolt · Accepted Answer

✔ 3

Factoring Polynomials: Difference of Squares Answers