Quiz about Factoring Review

Question 1

Factor: x² + 9x + 18

Accepted Answer

(x + 3)(x + 6)

Answer

(x - 3)(x - 6)

Answer

(x + 9)(x + 2)

Answer

(x + 3)2

Question 2

Factor:
x² -17x - 60

Accepted Answer

(x - 20)(x + 3)

Answer

(x - 3)(x + 20)

Answer

(x - 3)(x - 20)

Answer

(x + 3)(x + 20)

Question 3

x²- 17x + 72

Accepted Answer

(x - 8)(x - 9)

Answer

(x + 2)(x - 36)

Answer

(x - 8)(x + 9)

Answer

(x - 4)(x - 7)

Question 4

x²+ 10x + 16

Accepted Answer

(x + 2)(x + 8)

Answer

(x - 2)(x - 8)

Answer

(x + 1)(x + 16)

Answer

(x + 6)(x + 10)

Question 5

5x²- 15x + 10

Accepted Answer

5(x - 2)(x - 1)

Answer

(5x - 2)(x - 5)

Answer

5(x - 2)(x + 1)

Question 6

Is this a perfect square trinomial?
x² + 16x + 64

Accepted Answer

Yes

Answer

No

Question 7

Factor:
x² - 30x + 225

Accepted Answer

(x - 15)2

Answer

(x + 15)2

Answer

(x + 25)2

Answer

(x - 25)2

Question 8

Factor.

25x²- 81

Accepted Answer

(5x + 9)(5x - 9)

Answer

(5x - 9)2

Answer

25(x - 9)²

Answer

(9x + 5)(9x - 5)

Question 9

Factor.

4x²- 16

Accepted Answer

4(x - 2)(x + 2)

Answer

(2x - 4)(2x + 4)

Answer

(4x - 4)(4x + 4)

Answer

4(x - 2)2

Question 10

Factor.

16x²- 25

Accepted Answer

(4x + 5)(4x - 5)

Answer

16x2 - 25

Answer

(4x + 5)(4x + 5)

Answer

(4x + 5)2

Question 11

What is the greatest common factor of 48x²and 32x³?

Accepted Answer

16x2

Answer

8x2

Answer

16x

Answer

96x3

Question 12

Find the product.
(x + 7)²

Accepted Answer

x² + 14x + 49

Answer

x²+ 7x + 7x + 49

Answer

x²+ 7x + 7

Answer

7x²+ x + 7

Question 13

Factor:
17xy - x

Accepted Answer

x(17y - 1)

Answer

17(xy - x)

Answer

y(17x - x)

Answer

not factorable

Question 14

Factor

3v² - 4v - 7

Accepted Answer

(3v - 7)(v + 1)

Answer

3(v - 7)(v - 1)

Answer

Unfactorable

Answer

(3v + 1)(v - 10)

Question 15

Is this a perfect square trinomial?
x² + 10x + 100

Accepted Answer

No

Answer

Yes

Question 16

Factor.

4x²- 16x - 9

Accepted Answer

(2x - 9)(2x + 1)

Answer

(2x + 9)(2x - 1)

Answer

(4x - 1)(x + 9)

Answer

(x + 1)(4x - 9)

Question 17

Factor: 3x²- 17x + 10

Accepted Answer

(x - 5)(3x - 2)

Answer

(x + 5)(3x + 2)

Answer

(3x - 5)(x - 2)

Answer

(x + 5)(3x - 2)

Question 18

Factor: 9x²+ 30x + 25

Accepted Answer

(3x + 5)2

Answer

(9x + 5)(x + 5)

Answer

(3x - 5)2

Answer

(9x - 5)(x + 5)

Question 19

Factor:

56a³- 8a

Accepted Answer

8a(7a²- 1)

Answer

8a²(56a³- 8a)

Answer

8a(7a³- a)

Answer

8a²(35a²- a)

Question 20

Factor completely:

3x² + 18x +15

Hint: Factor GCF first.

Accepted Answer

3(x + 5)(x + 1)

Answer

3(x² + 6x + 5)

Answer

(x + 5)(x + 1)

Answer

Prime

Question 21

Factor.

x²- 25

Accepted Answer

( x + 5 ) ( x - 5 )

Answer

( x - 5 ) ( x - 5 )

Answer

( x + 5 ) ( x + 5 )

Answer

Prime

Question 22

Factor:

81m² - 1

Accepted Answer

(9m - 1)(9m + 1)

Answer

Prime

Answer

(m - 9)(m + 9)

Answer

9m(9m - 1)

Question 23

Factor

3a² + 4a + 1

Accepted Answer

(3a + 1)(a + 1)

Answer

(7a - 10)(a - 8)

Answer

Prime

Answer

(3a - 1)(a - 1)

Question 24

A square has an area of 25x²+ 20x + 4 square feet. Find the length of one side of the square.

HINT: Squares have equal sides

Accepted Answer

(5x + 2) meters

Answer

(x + 2) meters

Answer

(x - 2) meters

Answer

(5x - 2) meters

Question 25

The area of a rectangle is (6x²+ 7x + 2) square inches and the length is (3x + 2) inches. Which expression represents the rectangle's width?

Accepted Answer

(2x + 1) inches

Answer

(2x + 2) inches

Answer

(2x - 2) inches

Answer

(2x - 1) inches

Question 26

Wich is the degree of the monomial?

2x²y³z

Accepted Answer

6

Answer

2

Answer

3

Answer

1

Question 27

Solve.

2x³yz - 8x³yz

Accepted Answer

-6x3yz

Answer

5x3yz

Answer

6x3yz

Answer

4x3yz

Question 28

Solve.

5X³+ 5X³

Accepted Answer

10X3

Answer

10x6

Answer

25x6

Answer

15X + 15X

Question 29

If a variable of a monomial has no exponent, its degree is...

Accepted Answer

1

Answer

0

Answer

-1

Answer

It depends on the coefficient

Question 30

What is the degree of the monomial?

Accepted Answer

8

Answer

5

Answer

3

Answer

9

Question 31

What is the degree of the polynomial?

Accepted Answer

2

Answer

4

Answer

3

Answer

-4

Question 32

What is the degree of the polynomial?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 33

What does FOIL stand for?

Accepted Answer

First Outside Inside Last

Answer

Failing Only in Latin

Answer

Farming Only in Lakewood

Answer

Fresh Only in Lakes

Question 34

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

Accepted Answer

3x2 - x

Answer

4x2 + 2x

Answer

3x2 + 3x

Answer

3x2 + 2x

Question 35

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

Accepted Answer

-8n² - 8n + 3

Answer

-7n² - 8n + 3

Answer

-6n²- 8n + 3

Answer

-7n² - 4n + 3

Question 36

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

Accepted Answer

2x² + x - 10

Answer

2x² + x + 2

Answer

x + 2

Answer

x - 10

Question 37

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

Accepted Answer

2x² + x - 10

Answer

2x² + x + 2

Answer

x + 2

Answer

x - 10

Question 38

Simplify:

5(3x + 2)

Accepted Answer

15x + 10

Answer

3x + 10

Answer

15x - 10

Answer

3x - 10

Question 39

Simplify:

2x (-2x - 3)

Accepted Answer

-4x2 - 6x

Answer

-4x - 3

Answer

x2 - 3

Answer

-4x - 6

Question 40

(5c - 2)(3c²- 5c + 4)

Accepted Answer

15c³- 31c²+ 30c - 8

Answer

15c³- 31c⁴+ 30c²- 8

Answer

15c³- 19c²+ 10c - 8

Answer

15c³- 31c²+ 30c + 8

Question 41

Simplify: (3x⁴ + 2x - 4x²) + (5x² - 8x + 6x⁴)

Accepted Answer

9x⁴ + x² - 6x

Answer

9x⁴ + 10x + 9x²

Answer

3x⁴ + 9x² + 6x

Answer

3x⁴ - 6x + x²

Question 42

(x² + 12)(x² - 12) =

Accepted Answer

x4 - 144

Answer

x2 - 144

Answer

x3 - 144

Answer

x4 + 144

Question 43

Solve.

(2x + 6)²

Accepted Answer

4x² + 24x + 36

Answer

2x² + 24x + 12

Answer

2x² + 24x + 36

Answer

4x2 + 36

Question 44

Solve.

(3x + 4y)²

Accepted Answer

9x² + 24xy + 16y²

Answer

6x² + 8y²

Answer

6x² - 8y²

Answer

9x² + 16y²

Question 45

Factor p³- 3p² - 16p + 48

Accepted Answer

(p + 4) (p - 4) (p - 3)

Answer

p² ( p - 3) (p - 3)

Answer

(p² - 16) (p - 3)

Question 46

Factor.

x³ + 2x² - 49x - 98

Accepted Answer

(x + 7) (x - 7) (x + 2)

Answer

(x² - 49) (x + 2)

Answer

(x² - 49) (x + 2) (x + 2)

Question 47

A box has a volume given by the trinomial 12x³ +34x²+14x. What are the possible dimensions of the box?

Accepted Answer

2x, 2x + 1, and 3x + 7

Answer

3x, 2x + 1, and 2x + 7

Answer

2x, 2x - 1, and 3x + 7

Answer

2x, 2x + 1, and 3x - 7

Factoring Review

55 questions

Factor: x² + 9x + 18

Factor:
x² -17x - 60

x²- 17x + 72

x²+ 10x + 16

5x²- 15x + 10

Is this a perfect square trinomial?
x² + 16x + 64

Factor:
x² - 30x + 225

Factor.
25x²- 81

Factor.
4x²- 16

Factor.
16x²- 25

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Factoring Review

55 questions

Factor: x2 + 9x + 18

Factor: x2 -17x - 60

x2 - 17x + 72

x2 + 10x + 16

5x2 - 15x + 10

Is this a perfect square trinomial?x2 + 16x + 64

Factor: x2 - 30x + 225

Factor.25x2 - 81

Factor.4x2 - 16

Factor.16x2 - 25

Create a free account and access millions of resources

Similar Resources on Wayground

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Discover more resources for Mathematics

Factor: x² + 9x + 18

Factor:
x² -17x - 60

x²- 17x + 72

x²+ 10x + 16

5x²- 15x + 10

Is this a perfect square trinomial?
x² + 16x + 64

Factor:
x² - 30x + 225

Factor.
25x²- 81

Factor.
4x²- 16

Factor.
16x²- 25