Factoring Polynomials: Difference of Squares

Question 1

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

Revolt · Accepted Answer

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

Question 2

What are the factors of x2 – 144?

Revolt · Accepted Answer

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

Question 3

(x – 4)(x – 1)(x + 2)✔ (x + 12)

Revolt · Accepted Answer

✔ (x + 12)

Question 4

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 5

–16–1✔ 01

Revolt · Accepted Answer

✔ 0

Question 6

–16 and 1–8 and 2✔ –4 and 4–1 and 16

Revolt · Accepted Answer

✔ –4 and 4

Question 7

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

Revolt · Accepted Answer

✔ (4x– 1)(4x+ 1)

Question 8

Represent the polynomial x2 – 16 geometrically using algebra tiles.

Revolt · Accepted Answer

✔ 4; The number of zero pairs that will be added to the board is .: 4; The equivalent factored form of x2 – 16 is .: (x – 4)(x + 4)

Question 9

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

Revolt · Accepted Answer

✔ (x – 4)(x + 4)

Question 10

Complete the factorization of 4x2 – 9.

Revolt · Accepted Answer

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

Factoring Polynomials: Difference of Squares Answers

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