Factoring Polynomials: Difference of Squares Answers

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

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

Represent the polynomial x2 – 16 geometrically using algebra tiles.

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

Consider the polynomial 16x2 – 1.

1✔ 24

1✔ 39

1✔ 24

1✔ 39

(x – 4)(x – 1)(x + 2)✔ (x + 12)

What are the factors of x2 – 144?

Consider the polynomial 16x2 – 1.

–16–1✔ 01

–16 and 1–8 and 2✔ –4 and 4–1 and 16

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

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

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

Analyze Cecile’s work. Is it correct?