Finding GCF With Variables

What is the GCF

7x²

14x

• 7

• 7x

• 14x

• 3x

What is the GCF of 18k and 15k³

• 3k²

• 3k³

• 3k

• 5k

What is the GCF

24c⁵

12c³

• 6

• 12c

• 12c³

• 12

Factor using the GCF.

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

What is the GCF? 5x²+20x

• 5

• x

• 5x

• 20x

What is the first step in factoring common monomials?

• Divide the given polynomials to the GCF.

• Find the GCF of the coefficient and variable.

• Multiply the exponents.

• Add the coefficient and exponents.

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

• 5x(6x - 4)

• 2x(15x - 10)

• 10x(3x - 2)

• 15x(2x - 3)

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

Simplify the polynomial by factoring out the GCF: 25x^2 - 15x.

• 5x(5x + 3)

• 25x(1 - 3x)

• 5x(5x - 3)

• 10x(2x - 3)

What is the GCF?

• 5

• x

• 5x

• 20x