Simplifying Polynomial Expressions

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

Simplify the polynomial expression:

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Simplify:
3x³(2x² + 9x + 6)

• 6x⁵ + 27x⁴ + 18x
• 6x⁵ + 18x² + 9
• 6x⁵ + 27x⁴ + 18x³
• 6x⁵ + 45x³ 

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(3x⁴ - 4 - 5x²) - (1 - x² + 2x³)

• 3x⁴ - 2x³ - 4x² - 5
• 3x⁴ - 7x³ - 4x² - 5
• 3x⁴ - 7x³ - 4x² - 4
• 3x⁴ - 5x³ - 4x² - 4

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(4a + 1 + 4a⁴) - (4a³ + 2a + 3a⁴)

• a⁴ - 4a³ + 3a + 7
• a⁴ - 7a³ + 3a + 7
• a⁴ - 4a³ + 3a + 1
• a⁴ - 4a³ + 2a + 1

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(8 - 3x² - 7x) + (x⁴ - 4x - 7x²)

• x⁴ - 6x² - 11x + 8
• x⁴ - 10x² - 11x + 8
• x⁴ - 6x² - 11x + 15
• -3x⁴ - 6x² - 11x + 15

Tags

CCSS.HSA.APR.A.1

What binomial must be subtracted from (6r - 4) so that the difference of the 2 polynomials is (2r + 13)?

• 8r + 9

• 8r -17

• 4r + 9

• 4r - 17

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.3

Anna made and sold ceramic vases one week. Her profit, P, in dollars, is calculated using the formula P = R - C, where R represents her revenue and C represents her costs. If R = 25x - 0.5x² and C= 100+5x, which expression represents her profit, in dollars?

• P = - 0.5x² + 20x - 100

• P = - 0.5x² + 30x - 100

• P = 0.5x² - 20x + 100

• P = - 0.5x² + 30x + 100

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which polynomial is equivalent to

(z-12)²?

• z² - 24x + 144

• z² + 144

• z² - 144

• z² + 24x - 144

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The length of each side of a cube is x+1 inches. What is the volume of the cube in cubic inches?

• 3x+3

• x³ + 1

• x² + 2x + 1

• x³ + 3x² + 3x + 1

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

CCSS.HSG.GMD.A.3