Multiply Polynomials and Factor Polynomials

What is the first step in factoring this problem? 3m² - 2m - 5

• Multiply

• Factor out the GCF

• List the factors of -5

• List the factors of -15

Which step is NEVER used when factoring polynomials? Select all the apply.

• Multiplying the first and the last term

• Factoring out the GCF

• Finding the factors of the middle term

• Find the sum of the factors that equal the middle term

• Find the square root of the last term

Multiply:
5x (3x² + 2x - 7)

• 15x³ + 10x² - 35x

• 60x³

• 8x³ + 7x² - 12x

• 15x² + 10x - 35x

Multiply:
-4 (3x² - 5x - 10)

• -12x² + 20x + 40

• 72x²

• -1x² + 20x - 40

• -12x² - 20x - 40

Multiply:
(x + 5)(x - 4)

• x² + x - 20

• x² - 9

• x² + 9x + 1

• x² + 9x + 20

Multiply:
(2x + 3)(3x + 1)

• 6x² + 11x + 3

• 6x² - 11x - 3

• 5x² + 9x + 4

• 5x² + 2x + 3

Multiply:
(x + 5)(x - 5)

• x² - 25

• x² - 10

• x² - 10x + 25

• x² + 10x - 25

Multiply:
(x + 8)²

• x² + 16x + 64

• x² + 64

• x² + 16

• x² + 8x + 16

Multiply:
(2x - 1)²

• 4x² - 4x + 1

• 4x² - 1

• 4x² + 1

• 4x² + 2x + 4

Which set of factors would multiply to get 
x² + 5x + 4

• (x + 4) (x + 1)

• (x + 5) (x + 4)

• (x - 4) (x - 1)

• (x + 20) (x + 4)