Distribute Monomial to Polynomial

How to multiply a monomial by a polynomial?

• Remove all variables in the polynomial then multiply.

• Combining like terms

• A single term polynomial.

• Distribute the monomial throughout the polynomial.

Multiply

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-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶

• 15x⁸ - 60x⁷ - 150x⁶

• 8x⁶ - 17x + 35

• -8x⁶ + 17x - 35x²

Multiply the following

6h(5h² - 2hz - 4z²)

• 30h³ - 12h²z - 24hz

• 11h³ - 12h²z - 24hz²

• 30h - 12hz - 24 hz²

• 30h³ - 12h²z - 24hz²

5x(2x³+6)

• 10x⁴+30x

• 10x³+30x

• 7x⁴+11x

-8(6x + 3)

• -48x+24

• -14x-24

• -48x-24

• -48x+3

5x(4x³ + 8)

• 9x⁴ + 40x

• 20x⁴ + 40x

Simplify:
3x³(2x² + 9x + 6)

• 6x⁵ + 27x⁴ + 18x

• 6x⁵ + 18x² + 9

• 6x⁵ + 27x⁴ + 18x³

• 6x⁵ + 45x³ 

-6x(x² - 7x)

• -6x³ + 42x²

• -6x³ - 42x²

3x(5x² + 4x + 8)

• 8x³ + 12x + 24

• 15x³ + 12x² + 24x