Multiplying Polynomials by Monomials

To set us up for the next section we'll be working on in class, we're going to revisit multiplying by distribution. We have seen this before, in multiple ways, so should be pretty straight forward!

Multiple Choice

3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a

• 10a³ + 24a + 6

Multiple Choice

5x(4x³ + 8)

• 9x⁴ + 40x
• 20x⁴ + 40x

Multiple Choice

3x(2x² + 9x + 6)

• 6x³ + 27x² + 18x
• 6x³ + 18x² + 9

Multiple Choice

7y(5y² + 2y + 3)

• 35y³ + 14y² + 21y
• 12y³ + 14y² + 21y

Multiple Choice

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶
• 12m⁸ + 8m⁶

Multiple Choice

-2x(5x² + 8)

• -10x³ -16x
• -10x² - 16

Multiple Choice

-6y(y⁵ + 8y)

• -6y⁶ - 48y²
• -6y⁶ - 48

Multiple Choice

-8x(x - 8)

• -8x² + 64x
• -8x² - 64

Multiple Choice

2x²(x+5)

• 2x²+5

• 2x²+10x²

• 2x³+5

• 2x³+10x²

Multiple Choice

10(x+y+z)

• 10x+y+z

• 10x+10y+z

• 10x+10y+10z

• 10xyz

Multiple Choice

10x(2x²+3x+4)

• 20x³+30x²+40x

• 20x²+30x+40

• 12x³+13x²+14x

• 12x²+13x+14

Multiple Choice

REVIEW: Add the polynomials:

(2x² + 5x - 11) + (3x + 9)

• 2x² + 8x - 2

• 2x² + 8x - 20

• 2x² + 2x + 2

• 5x² + 8x

Multiple Choice

REVIEW: Subtract the polynomials:

(k² + 8k + 1) - (3k² + 5k + 8)

• -2k² + 13k - 9

• -2k² + 13k + 7

• -2k² + 3k - 7

• 2k² + 3k - 9