Multiplying Monomials by Polynomials

When multiplying a monomial and a polynomial, the key is ....

• multiply the coefficients & add the exponents

• add the coefficients & multiply the exponents

• a nice, sharp pencil

3x(2x² + 9x + 6)

• 6x³ + 27x² + 18x

• 6x³ + 18x² + 9

5x(4x³ + 8)

• 9x⁴ + 40x

• 20x⁴ + 40x

3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a

• 10a³ + 24a + 6

Find the area.

Mathematical Equivalence

ON

Find the area.

Mathematical Equivalence

ON

7y(5y² + 2y + 3)

• 35y³ + 14y² + 21y

• 12y³ + 14y² + 21y

-6y(y⁵ + 8y)

• -6y⁶ - 48y²

• -6y⁶ - 48

10x(2x²+3x+4)

• 20x³+30x²+40x

• 20x²+30x+40

• 12x³+13x²+14x

• 12x²+13x+14

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶

• 12m⁸ + 8m⁶