Algebra I Test 7 Review

Factoring Methods

Greatest Common Factors

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100

16x² + 36

A. common monomial factor

B. difference of two squares

C. perfect square trinomial

D. not factorable

100

Identify the GCF of the terms of the polynomial:

x³ + 4x²

x²

100

The following is a difference of two squares...true or false?

4x² + 25

False

100

Is the following polynomial prime?

x³ - 4x² + 2x + 8

Yes

100

Factor:

4x² - 18x - 10

2(2x + 1)(x - 5)

200

x² - 5x +25

A. common monomial factor

B. difference of two squares

C. perfect square trinomial

D. not factorable

200

Identify the GCF of the terms of the polynomial:

3a(c - 5d) - b(c - 5d)

c - 5d

200

The following is a difference of two squares...true or false?

x² - 100x

False

200

Is the following polynomial prime?

-x² + 13x - 30

200

Factor:

-x² + 13x - 30

-(x - 3)(x - 10)

300

x² + 8x + 16

A. common monomial factor

B. difference of two squares

C. perfect square trinomial

D. not factorable

300

Identify the GCF of the terms of the polynomial:

5x² + 15x + 30

300

The factored form of a difference of two squares is called ______.

a pair of conjugates

300

What is the value of "ac" for the trinomial

2x² + 5x + 2?

300

Factor:

x³ - 16x

x(x + 4)(x - 4)

400

x² - 81

A. common monomial factor

B. difference of two squares

C. perfect square trinomial

D. not factorable

400

Identify the GCF of the terms of the polynomial:

2a³b + 4ab² -3a²b³

400

The following is a perfect square trinomial...true or false?

x² + 12x + 36

True

400

What is the value of "ac" for the trinomial

3x² - 4x - 15?

-45

400

25x² - 10x + 1

(5x - 1)²

500

x²- 6x - 9

A. common monomial factor

B. difference of two squares

C. perfect square trinomial

D. not factorable

500

7y(a + 3b) + z(a + 3b)

a + 3b

500

The following is a perfect square trinomial...true or false?

9x³ + 12x² y + 4xy²

True

500

Factor:

x³ - 6x² -4x + 24

(x - 6)(x + 2)(x - 2)

500

2a² + ab - b²

(2a - b)(a + b)