Factoring Trinomials: a 1

Question 1

The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.2x2 + 13x + 6 = (x + 6)(?)What is the other linear factor?

Revolt · Accepted Answer

C: 2x + 1

Question 2

Complete the factorization of 3x2 – 10x + 8.

Revolt · Accepted Answer

: 2; : 3

Question 3

Represent the quadratic polynomial 2x2 + x – 6 using algebra tiles and determine the equivalent factored form.

Revolt · Accepted Answer

B: ✔ 3

Question 4

Complete the factorization of 3x2 – 5x + 2.Which two factors can be multiplied together to make this trinomial?(x – 2)(x – 1)(x + 1)(3x – 2)(3x + 2)

Revolt · Accepted Answer

B: (x – 1); D: (3x – 2)

Question 5

Consider the trinomial 9x2 + 21x + 10.

Revolt · Accepted Answer

D: ✔ 90

Question 6

Complete the factorization of 3x2 – 10x + 8.

Revolt · Accepted Answer

: 80238; : 3

Question 7

A prime polynomial cannot be written as a product of lower-degree polynomials. Which polynomial is prime?

Revolt · Accepted Answer

C: 8x2 – 6x – 3

Question 8

Which statement is true of a rectangle that has an area of 4x2 + 39x – 10 square units and a width of (x + 10) units?

Revolt · Accepted Answer

C: The perimeter of the rectangle is (10x + 18) units.

Question 9

Determine if Ginny factored correctly. If not, explain where she made an error.

Revolt · Accepted Answer

A: Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.

Question 10

✔ (2x – 3)(x + 2)(2x + 3)(x – 2)(2x + 2)(x – 3)(2x – 2)(x + 3)

Revolt · Accepted Answer

A: ✔ (2x – 3)(x + 2)

Factoring Trinomials: a > 1 Answers