Free Printable Gcf in Polynomials

1.

What is the GCF in this polynomial?
3x²+6x-18

a)

2

b)

3

c)

6

d)

18

2.

What is the GCF of this polynomial?
2x³-8x²+3x

a)

2

b)

x²

c)

2x

d)

x

3.

What is the GCF of the following polynomial?
4x²+6x-20

a)

1

b)

2

c)

4

d)

6

4.

What is the GCF of the following polynomial?
2x³+4x²-12x?

a)

2

b)

4x

c)

x

d)

2x

5.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make a triangle

d)

Write the answer

6.

Simplify the polynomial by factoring out the GCF: 30x^2 - 20x.

a)

5x(6x - 4)

b)

2x(15x - 10)

c)

10x(3x - 2)

d)

15x(2x - 3)

7.

What is the first step in factoring common monomials?

a)

Divide the given polynomials to the GCF.

b)

Find the GCF of the coefficient and variable.

c)

Multiply the exponents.

d)

Add the coefficient and exponents.

8.

What is the first question you ask yourself when factoring a polynomial?

a)

How many terms does it have?

b)

Is there a GCF?

c)

What strategy should I use?

d)

Why do I have to learn this?!?!?!

9.

Factor out the GCF in the polynomial $12x^3 - 8x^2 + 4x$ .

a)

$4x(3x^2 - 2x + 1)$

b)

$2x(6x^2 - 4x + 2)$

c)

$4x(3x^2 - 4x + 1)$

d)

$4x(3x^2 + 2x - 1)$

10.

Factor by using GCF:
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

11.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

12.

What is the GCF? 3x²-2x

a)

3

b)

3x

c)

x

d)

2

13.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

14.

8r³ + 16r²

a)

4r²(2r + 4)

b)

8r²(r + 2)

c)

8(r³ + r²)

d)

4(r³ + 2r²)

15.

Factor the polynomial
32y³ + 8y²

a)

8y²

b)

8y(4y² + y)

c)

8y²(4y + 1)

d)

8y²(4y + 8)

16.

Determine the GCF of 18x^3y and 27x^2y^2.

a)

3x^2y

b)

9x^2y

c)

6x^2y

d)

12x^2y

17.

What is the greatest common monomial factor of 9a^2b and 27ab^2?

a)

9ab

b)

12ab

c)

18a^2b^2

d)

3ab

18.

What is the greatest common monomial factor of 6x^2 and 9x?

a)

2x

b)

4x

c)

5x

d)

3x

19.

Find the GCF of 12xy and 18x^2y^2.

a)

24xy^2

b)

9x^2y

c)

6xy

d)

3xy

20.

Determine the GCF of 15a^2b^3 and 25ab^2.

a)

5ab^2

b)

3ab^2

c)

20a^2b

d)

10ab^3

Gcf in Polynomials

Total questions: 20

Worksheet time: 20mins

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