Factor Polynomials Completely

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

Factor:
x² - 10x + 9

• (x - 9) (x - 1)

• (x + 3) (x - 3)

• (x + 9) (x - 1)

• Prim polynomial

Factor
12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

Tags

CCSS.7.EE.A.1

Factor completely
10x² + 15x-5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor k²+7k+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor Completely: x² - 36

*hint: what is the middle term's value if there is no coefficient of x?

• (x + 9)(x - 4)

• (x - 6)(x - 6)

• (x - 9)(x + 4)

• (x + 6)(x - 6)

Tags

CCSS.HSA.APR.C.4

Factor
a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

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

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

• 6

• 6xy

• 6x³y²

• 6x⁹y⁶

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