Multiplying Polynomials by Monomials

Simplify:
3a(5a² + 8a + 2)

• 15a³ + 24a² + 6a
• 10a³ + 24a + 6
• 8a³ + 11a² + 6a
• 15a² + 24a + 6

Simplify:

-3x²(5x² + 3x)

• -15x⁴ - 9x²

• -15x⁴ - 9x³

• 2x⁴ - 6x³

• -15x² - 9x

Tags

CCSS.HSA.APR.A.1

Simplify:

-5x³(2x² - 6x + 8)

• -7x⁵ + 11x⁴ - 13

• -10x⁵ +30x⁴ - 40x³

• -10x⁵ - 30x⁴ - 40x³

• -10x⁵ + 30x⁴ -40

5x(4x³ + 8)

• 9x⁴ + 40x

• 20x⁴ + 40x

• 20x³ + 40x

• 9x⁴ + 13x

Tags

CCSS.HSA.APR.A.1

7y(5y² + 2y + 3)

• 35y³ + 14y² + 21y

• 12y³ + 14y² + 21y

• 35y³ + 14y² + 21

• 12y³ + 14y² + 10y

Tags

CCSS.HSA.APR.A.1

4m(3m⁷ + 2m⁵)

• 7m⁷ + 6m⁶

• 12m⁸ + 8m⁶

• 12m⁷ + 8m⁵

• 7m⁸ + 6m⁶

Tags

CCSS.HSA.APR.A.1

-6y(y⁵ + 8y)

• -6y⁶ - 48y²

• -6y⁶ - 48

• -6y⁶ - 14y²

• -6y⁶ + 48y²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the following expression.
5a(-3a² +  4a - 5 + 6a³) + 2(-3a + 4 + 10a² )

• -6a³ + 13a²+ + 4a + 9
• 30a⁴ + 5a³ + 7a² + 4a - 1
• -21a³ + 13a² + 4a - 1
• 30a⁴ - 15a³ + 40a² - 31a + 8

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Simplify the following expression.
3ab(5a² – a – 2) + 2a(b + 1)

• 15a³b – 3a²b – 4ab + 2a
• 15ab – 3a² + 4ab²
• 15a³ – a²b – 4ab
• 8a³b – 3a²b – 2ab + a

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶

• 15x⁸ - 60x⁷ - 150x⁶

• 8x⁶ - 17x + 35

• -8x⁶ + 17x - 35x²

Tags

CCSS.HSA.APR.A.1