Factoring Polynomials and Quadratics

Factor completely:

25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4

Factor
4x²-25x+25

• 4(x-5)(x+5)

• (x+5)(4x+5)

• (x-5)(4x-5)

• (x+2)(9x+1)

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• All of the above

What is the factor of 6x²-24x?

• 6x(x-4)

• 6x(x-24x)

• 6(x²-24x)

• 6x²(1-24x)

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

What numbers are factors of -24 whose sum is 10?

• 2 and -12

• -2 and 12

• 4 and 6

• -4 and 6

What numbers are factors of -40 whose sum is 6?

• 4 and -10

• -4 and 10

• 5 and -8

• -2 and 20

What numbers are factors of -60 whose sum is -7?

• -6 and -10

• -4 and 15

• 5 and -12

• -5 and 12

• 4 and -15

Which number is one of the correct factors of -6 and will also sum to -1?

• -6

• -1

• -3

• -2

• 3