Factoring Polynomials

Name______Date______Class______

Factoring Polynomials

Section A Quiz

Holt McDougal Algebra 1

Name______Date______Class______

Select the best answer.

1.Which of the following is the prime factorization of 60?

A22 • 3 • 5C3 • 4 • 5

B22 • 15D2 • 3 • 5

2.Which of the following could NOT be a prime factorization of any number?

F2H23

G7J3 • 6

3.What is the GCF of 12 and 32?

A2C6

B4D8

4.What is the GCF of 10x2 and 15x?

F5H10

G5xJ10x

5.What is the correct factorization of
6x2 24x?

A3x(2x 8)C6(x2 4x)

B3(2x2 8x)D6x(x 4)

6.What is the complete factorization of
8y3 4y2 10y?

Fy3(8  4y 10y)

Gy(8y2 4y 10)

H2(4y3 2y2 5y)

J2y(4y2 2y 5)

7.What is the correct factorization of
5(x 2)  3x(x 2)?

A(5x 10)  (3x2 6x)

B(5  3x) (x 2)

C(5x 2) (3x 2)

D(5  2x) (x 3)

8.Which is another way to write (5 x)?

Fx 5H1(x 5)

G1(5 x)J5x

9.What is the correct factorization of
x2 13x 30?

A(x 1) (x 30)C(x 3) (x 10)

B(x 2) (x 15)D(x 5) (x 6)

10.What is the correct factorization of
x2 11x 18?

F(x 2) (x 9)H(x 2) (x 9)

G(x 2) (x 9)J(x 2) (x 9)

11.What is the correct factorization of
x2 2x 15?

A(x 5) (x 3)C(x 5) (x 3)

B(x 5) (x 3)D(x 5) (x 3)

12.What value of b would make
x2bx 24 factorable?

F4H8

G5J12

13.What is the correct factorization of
3x2 14x 8?

A(3x 4) (x 2)C(3x 8) (x 1)

B(3x 2) (x 4)D(3x 1) (x 8)

14.What is the correct factorization of
2x2 3x 5?

F(2x 5) (x 1)H(2x 1) (x 5)

G(2x 5) (x 1)J(2x 1) (x 5)

15.What is the correct factorization of
5x2 9x 2?

A1(5x 1) (x 2)

B1(5x 1) (x 2)

C1(5x 2) (x 1)

D1(5x 2) (x 1)

16.The area of a rectangle is
12x2 8x 15. The width is (2x 3). What is the length of the rectangle?

F(6x 5)H(2x 3)

G(6x 5)J(2x 3)

Holt McDougal Algebra 1

Name______Date______Class______

Factoring Polynomials

Section B Quiz

Holt McDougal Algebra 1

Name______Date______Class______

Select the best answer.

1.Which of the following is a perfect square trinomial?

Ax2 10x 25Cx2 10x 20

Bx2 5x 10Dx2 10x 50

2.Which value of b would make
16x2bx 25 a perfect square trinomial?

F4H20

G5J40

3.What is the complete factorization of
x2 8x 16?

A(x 4) (x 4)C(x 8) (x 8)

B(x 4) (x 4)D(x 8) (x 8)

4.The area of a square garden is
36x2 60x 25. What is the perimeter
of the garden if x 3 feet?

F52 feetH92 feet

G72 feetJ169 feet

5.What is the correct factorization of
9x2 60xy 100y2?

A(3x 10y) (3x 10y)

B(3x 10y) (3x 10y)

C(6x 10y) (6x 10y)

D(6x 10y) (6x 10y)

6.Which of the following binomials is a difference of squares?

Fx2 6H4x2 1

G5x2 10Jx2 25

7.What is the complete factorization of
25x2 36?

A(5x 6) (5x 6)

B(5x 6) (5x 6)

C(5x 6) (5x 6)

D(6x 5) (6x 5)

8.Which of the following polynomials is completely factored?

F(3x 12) (x 3)H5x3 4x

G(4x 9) (x 5)J(x2 4) (x2 4)

9.Which method could be used to factor
9x2 24x 16?

AFactor out the GCF

BFactor by grouping

CPerfect square trinomial

DDifference of squares

10.Which method could be used to factor
4x2 50?

FFactor out the GCF

GFactor by grouping

HPerfect square trinomial

JDifference of squares

11.What is the complete factorization of
x4 1?

A(x2 1) (x2 1)

B(x 1)2 (x 1)2

C(x2 1) (x 1) (x 1)

D(x 1) (x 1) (x 1) (x 1)

12.What is the complete factorization of
4x2 32x 64?

F4(x 4)2H(2x 8)2

G2(x 4) (2x 8)J2(x 4)2

13.Which of the following polynomials is unfactorable?

A25x2y2Cx2 3x 4

B21x 28Dx6 1

14.What is the complete factorization of
10x3 35x2 20x?

F(2x 1) (x 4)

G5x(2x2 7x 4)

H5x(2x 1) (x 4)

Jx(2x 1) (5x 20)

Holt McDougal Algebra 1

Name______Date______Class______

Holt McDougal Algebra 1