Simplifying Polynomial Expressions

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 20a - 7 
• 5a³ - 9a² - 20a - 7

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

Simplify
(3x² +2x -1) - 2(x+4)

• 3x² - 9
• 3x² - 4x - 9
• 3x²+ 4x - 9
• 3x²+ 3x + 1

Tags

CCSS.6.EE.A.3

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:
(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

Simplify:

 $3\left(2x+1\right)-4\left(x+5\right)-3x$  

•  $-x+23$  

•  $-x-17$  

•  $7x+17$  

•  $x+6$  

Tags

CCSS.6.EE.A.3