Factoring by GCF of Polynomials

Factor the GCF
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

Factor using GCF

16x² - 20xy

• 4 (4x² - 5xy)

• 4x (4x - 5y)

• 4x² (4 - 5y)

• 2(duck)

Factor the GCF
39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)

• 3y³(13y² + 4y - 1)

• y³(39y² + 12y - 3)

• not factorable

What is the GCF of 28ab and 42b?

• 4b

• 6b

• 7b

• 14b

What is the GCF of 18k and 15k³?

• 3k²

• 3k³

• 3k

• 5k

Factor using GCF

12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

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

• 4x

• 6x

• 2x

• x

−28a⁶ +20a⁴ −40a^{3
Find the GCF
(greatest common factor)} 

• 4a²

• -4a³

• -4a²

• 4a³

Factor
4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)