Adding, Subtracting, and Multiplying Polynomials Opener

What is the type of polynomial 3x⁴ + 2x² + 5x ?

• monomial
• binomial
• trinomial
• polynomial

What is the degree of the polynomial 3x⁴ + 2x² + 5x ?

• 1 (Linear)

• 2 (Quadratic)

• 3 (Cubic)

• 4 (Quartic)

Add the polynomials.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

Tags

CCSS.HSA.APR.A.1

What is the standard form of the polynomial,  9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³
• 9x² + 5x + 2x³ + 27
• 9x² + 5x + 27 + 2x³
• 2x³ + 9x² + 5x + 27

Subtract: (2a² + 5a + 3) - (a² - 3a - 4)

• 3a² + 2a - 1
• a² + 8a + 7
• 3a² + 8a + 7
• a² + 2a - 1

Tags

CCSS.HSA.APR.A.1

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24
• 4x⁴ - 9x³ - 10x² - 2x - 24
• 4x⁴ - 9x³ - 10x² + 2x - 24
• -4x⁴ - 9x³ - 10x² - 24

Tags

CCSS.HSA.APR.A.1

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1
• 2x³ + 1x² - 5x + 9
• 6x³ + 1x - 1x² - 3
• 3x⁵ +1x - 1x⁵ - 3x

Tags

CCSS.HSA.APR.A.1

x³(2x²+3x)

• 2x⁵+3x⁴

• 2x⁶+3x³

• 5x⁹

• 5x

Tags

CCSS.HSA.APR.A.1

10x(2x²+3x+4)

• 20x³+30x²+40x

• 20x²+30x+40

• 12x³+13x²+14x

• 12x²+13x+14

Tags

CCSS.HSA.APR.A.1

-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶

• 15x⁸ - 60x⁷ - 150x⁶

• 8x⁶ - 17x + 35

• -8x⁶ + 17x - 35x²

Tags

CCSS.HSA.APR.A.1