Multiplying Monomial and Polynomial, GCF and Factoring

When multiplying polynomials, ______ the exponents.

• add

• subtract

• multiply

• divide

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

What is the GCF of 5a³, 10a² and 15a?

• 5a²

• 5a³

• 5a

What is the GCF of 30b⁴, 45b² and 60b³?

• 15b²

• 5b²

• 15b³

What is the GCF of 12 and 30?

• 2

• 4

• 6

• 8

• 12

Multiply

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x³(2x²+3x)

• 2x⁵+3x⁴

• 2x⁶+3x³

• 5x⁹

• 5x

10x(2x²+3x+4)

• 20x³+30x²+40x

• 20x²+30x+40

• 12x³+13x²+14x

• 12x²+13x+14

-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶

• 15x⁸ - 60x⁷ - 150x⁶

• 8x⁶ - 17x + 35

• -8x⁶ + 17x - 35x²

Simplify the expression.
2x(-2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6