Free Printable Gcf of polynomials

1.

GCF of 12 and 18

a)

3

b)

4

c)

6

d)

2

2.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

3.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

4.

GCF of 11ab + 32ab

a)

11

b)

11ab

c)

ab

d)

2a

5.

GCF of 35f + 40f

a)

5f

b)

10

c)

f

d)

2f

6.

16x³, 12x³, x³

a)

1

b)

12x

c)

6x³

d)

x³

7.

What is the GCF? 12x+8

a)

12

b)

8

c)

4

d)

x

8.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

9.

Factor:

7x+49

a)

$7x\left(x+49\right)$

b)

$7\left(x+7\right)$

c)

$49\left(x+7\right)$

d)

$x\left(7+49\right)$

10.

$12c^2-20a^2$

Factor:

a)

$2\left(6c^2-10a^2\right)$

b)

$4\left(3c^2-5a^2\right)$

c)

$2a^2c^2\left(6-10\right)$

d)

$4\left(ca\right)^2\left(3-5\right)$

11.

$64-40ab$

Factor:

a)

$4\left(16-10ab\right)$

b)

$4ab\left(16-10ab\right)$

c)

$8ab\left(8-5ab\right)$

d)

$8\left(8-5ab\right)$

12.

$36a^2+24a$

Factor:

a)

$12a\left(3a+2\right)$

b)

$a\left(36a+24\right)$

c)

$12\left(3a^2+2a\right)$

d)

$a^2\left(36+24a\right)$

13.

Factor:

14x-21x^2

a)

$7\left(2x-3x^2\right)$

b)

$x\left(14-21x^2\right)$

c)

$14x\left(1-2x\right)$

d)

$7x\left(2-3x\right)$

14.

Factor:
$15xy+30x^2y^2$

a)

$xy\left(15+30xy\right)$

b)

$15\left(xy+2x^2y^2\right)$

c)

$15xy\left(1+2xy\right)$

d)

$5xy\left(3+6xy\right)$

15.

Factor:
$36ab^2-48a^2b$

a)

$a^2b^2\left(16a-38b\right)$

b)

$6ab\left(6b-8a\right)$

c)

$12ab\left(3a-4b\right)$

d)

$12ab\left(3b-4a\right)$

16.

Factor
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

17.

Factor:

18a²- 15a

a)

15a(3a-1)

b)

3a(6a-1)

c)

3(6a-5)

d)

3a(6a-5)

18.

What is the greatest common factor of 30x and 56x²

a)

4x

b)

6x

c)

2x

d)

x

19.

What is the greatest common factor of 34b³and 28b²

a)

2b

b)

2b²

c)

4b

d)

4b²

20.

8x + 24

a)

8(x + 3)

b)

4(2x + 6)

c)

2(4x + 12)

d)

prime

21.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

22.

Factor by using the GCF:

10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

23.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

24.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

25.

3x³+ 9x²- 15x

a)

x(3x² + 9x - 15)

b)

3x(x² + 3x - 5)

c)

3x(x² - 9x + 15)

d)

x(3x² -9x + 15)

26.

8r³ + 16r²

a)

4r²(2r + 4)

b)

8r²(r + 2)

c)

8(r³ + r²)

d)

4(r³ + 2r²)

27.

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

28.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

29.

Factor the GCF
39y⁵ + 12y⁴- 3y³

a)

3y(13y⁴ + 4y³ - y²)

b)

3y³(13y² + 4y - 1)

c)

y³(39y² + 12y - 3)

d)

not factorable

30.

Distribute and simplify

$x\left(3x^3+2x-5\right)$

a)

$3x^4+2x^2-5x$

b)

$3x^3+2x^2-5$

31.

Find the GCF of $5xy^2\ and\ \ 15x^2y$ , given that x and y are positive integer numbers.

(a)

32.

Factor:
$36ab^2-48a^2b$

a)

$a^2b^2\left(16a-38b\right)$

b)

$6ab\left(6b-8a\right)$

c)

$12ab\left(3a-4b\right)$

d)

$12ab\left(3b-4a\right)$

33.

Factor:

10x^3y^2-2xy^2+14xy

a)

$xy\left(10x^2y-2y+14\right)$

b)

$2xy\left(5x^2y-y+7\right)$

c)

$2xy\left(10x^2y-y+7\right)$

d)

$xy\left(5x^2y-y+7\right)$

34.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

35.

How many terms does this expression have:
-27a³ + 9a² - 45a

a)

what are terms?

b)

0 terms

c)

-45 terms

d)

3 terms

36.

Simplify:

5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

37.

Classify

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

38.

What is the value of the coefficient?
−3x+6

a)

3

b)

6

c)

−3

d)

x

39.

What is the value of the constant?
2x² + 4x − 5

a)

2

b)

4

c)

5

d)

−5

40.

What is the coefficient of y:
4 - 2y

a)

2

b)

4

c)

-2

d)

0

41.

1 Term

a)

Monomial

b)

Polynomial

c)

Trinomial

d)

Polynomial

42.

2 Terms

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

43.

3 Terms

a)

Monomial

b)

Polynomial

c)

Trinomial

d)

Polynomial

44.

Simplify:

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

45.

What is the degree of this polynomial? 7x - 4x⁵ + 3x⁴ - 6x²

a)

1

b)

2

c)

4

d)

5

46.

Which is an example of a cubic binomial?

a)

x³+5

b)

x²+3

c)

x²+5x-6

d)

5x³

47.

What is the GCF of the trinomial?
3x²- 9x -120

a)

3

b)

2

c)

6

d)

9

48.

What is ALWAYS the first step when factoring?

a)

Look for the GCF

b)

Write a, b, and c

c)

Difference of squares

d)

Group

49.

Find the greatest common factor of
6x⁴y³- 12x⁴y²+ 6x³y²

a)

6

b)

6xy

c)

6x³y²

d)

6x⁹y⁶

50.

What is the GCF of the monomials s⁶t²v⁷ and -2st⁶v³?

a)

-2st²v³

b)

st²v³

c)

-2s⁶t⁶v⁷

d)

s⁶t⁶v⁷

51.

Find the GCF between the following:
120w³, 40w²x⁵, and 8w⁷x²y

a)

120w⁷x⁵y

b)

120w²x²y

c)

8w²x²y

d)

8w²

52.

What is the GCF of 12ab³ and 15a²b²?

a)

3a²b²

b)

5ab²

c)

12ab²

d)

3ab²

Gcf of polynomials

Total questions: 52

Worksheet time: 3hrs 0mins

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