Factoring GCF and Type One Polynomials

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make a triangle

• Write the answer

What are the factors of

25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Prime (Can't be factored)

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor completely.

k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor Completely.

8x³ - 18x

• 2x(4x²-9)

• (4x²+3)(2x-3)

• 2x(2x+3)(2x-3)

• Prime (Can't be factored)

Factor out the GCF:

10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Solve the quadratic equation by factoring

a² + 10a + 21 = 0

• ± √21

• 3 , 7

• -3 , -7

• 28 , -7

Solve by factoring.

k² + 8k + 12 = 0

• -2, 2

• -2, 4

• 2, 3

• -2, -6

Solve the equation by factoring:

x² + x - 6 = 0

• {-2, 3}

• {-2, -3}

• {2, -3}

• {-2}

Solve the equation by factoring:

x² -6x + 8 = 0

• 2, 4

• -2, -4

• -2, 4

• 2, -4