Factor Polynomials

Factor completely
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Solve n⁴-49n²=0

• 0, 7

• 0, -7, 7

• 0, -7

• 7, -7

Tags

CCSS.HSA-REI.B.4B

Factor completely: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

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

• 6

• 6xy

• 6x³y²

• 6x⁹y⁶

What is the Greatest Common Factor of the following polynomial?
12t³ + 30t² + 48t

• 12t

• 6t³

• 6t

• 12t³

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

• 120w⁷x⁵y

• 120w²x²y

• 8w²x²y

• 8w²

The GCF is 13xy²z³. What is one possible option for polynomials with this GCF?

• 65x³y⁴z³ and 26xy²z¹⁸

• 13x²y²z² and 13x²y²z³

• 13xyz and 26x¹²y³z⁶

• 65x⁴y⁵z⁶ and 130xy²z³

What is the GCF of the polynomial
24x⁹ - 36x⁶ + 60x³?

• 6x

• 6x³

• 24x⁹

• 24x

Which of the following is a good definition for the Greatest Common Factor of a polynomial?

• The constants and variables that are the smallest

• The constants and variables that are the largest

• The largest combination of constants and variables you can "pull out" of a polynomial

• The common factor that is the greatest

Why do we need to find the GCF of polynomials? Choose the BEST option.

• Because Ms. Cooper and Ms. Glefke said so

• To simplify the polynomials as much as possible before working with them

• To get rid of stuff

• Because the GCF makes the problem impossible to solve