Factoring Trinomials: a 1

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

(x – 4)(x – 1)(x + 2)✔ (x + 12)

Revolt · Accepted Answer

(x + 12)

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

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

Revolt · Accepted Answer

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

Question 6

(x – 72)✔ (x – 12)(x + 36)(x + 144)

Revolt · Accepted Answer

(x – 12); Selection 1: (x – 12); Selection 2: (x + 12)

Question 7

✔ –16–101

Revolt · Accepted Answer

–16; Selection 1: –16; Selection 2: 0; Selection 3: –4 and 4; Selection 4: (4x– 1)(4x+ 1)

Question 8

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

Revolt · Accepted Answer

(6x4 – 7)(6x4 + 7)

Question 9

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

Revolt · Accepted Answer

(3x – 4)(3x + 4)

Question 10

Analyze Cecile’s work. Is it correct?

Revolt · Accepted Answer

Yes, Cecile factored the polynomial correctly.

Factoring Trinomials: a > 1 Answers