Factor Warmup

Factor completely.

x³ - 6x² - 16x

( Note: Factor out GCF = x first.)

• x ( x² - 6x - 16 )

• x ( x - 8 ) ( x + 2 )

• x ( x - 8 ) ( x - 2 )

• x ( x + 8 ) ( x - 2 )

Factor completely.

x² + 17x + 72

• ( x + 9 ) ( x - 8 )

• ( x - 9 ) ( x + 8 )

• ( x + 9 ) ( x + 8 )

• ( x - 9 ) ( x - 8 )

Factor completely.

x² + x - 30

• ( x + 10 ) ( x - 3 )

• ( x - 6 ) ( x - 5 )

• ( x - 6 ) ( x + 5 )

• ( x + 6 ) ( x - 5 )

Factor completely.

x² - 4x - 32

• ( x + 8 ) ( x - 4 )

• ( x - 8 ) ( x - 4 )

• ( x - 8 ) ( x + 4 )

• ( x + 8 ) ( x + 4 )

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor completely.
2n² + 17n - 30

• (2n - 3)(n + 10)

• (2n - 3)(n - 10)

• (2n + 3)(n - 10)

• (5n - 6)(n + 5)

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)

• (5x - 3)(x - 2)

• 5(x - 3)(x + 2)

• Not factorable

Factor Completely:  6x² + 5x - 6

• 6(x + 1)(x - 6)

• (6x + 6)(x - 1)

• (2x - 3)(3x + 2)

• (3x - 2)(2x + 3)

Factor
r² -16r + 60

• (r - 15)(r + 4)

• (r - 6)(r + 10)

• (r - 6)(r - 10)

• (r +30)(r - 2)