Factoring, Adding, Subtracting & Multiplying Polynomials

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1
• -2x² - 11x -4
• 2x² + 5x -7
• -2x² + 11x -4

Tags

CCSS.HSA.APR.A.1

-5x⁶(3x⁴ - 12x² + 30)

• -15x¹⁰ + 60x⁸ - 150x⁶

• -15x¹⁰ - 60x⁸ + 150x⁶

• -15x²⁴ + 60x¹² - 150x⁶

• -8x²⁴ + 17x¹² - 35x⁶

Tags

CCSS.HSA.APR.A.1

Simplify the product.

(2x – 6)²

• 4x² – 24x + 36
• 4x² – 8x + 36
• 4x² + 36
• 4x² – 12x + 36

Tags

CCSS.6.EE.A.3

Find the area of a rectangle with length (x-5) and width (3x+1).

• 3x² + 16x - 5

• 3x² - 14x + 5

• 3x² - 14x - 5

• 3x² - 16x - 4

Tags

CCSS.HSA.APR.A.1

Simplify the expression.

5(8 + 3x) - 4(x - 2)

• -x + 38

• 11x + 48

• 11x + 32

• 19x + 21

Tags

CCSS.6.EE.A.3

Factor: 27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x² + 4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.C.4

Factor completely.

x³ + 2x² - 49x - 98

• (x² - 49) (x + 2)

• (x² - 49) (x + 2) (x + 2)

• (x + 7) (x - 7) (x + 2)

• (x + 7i) (x - 7i) (x + 2)

Factor and Solve.

 $4x^2-11x+6=0$  

• (2x - 3)(2x - 2); x = 3/2 and x = 1

• (2x + 6)(2x +1); x = -3 and x = -1

• (4x - 3)(x - 2); x = 3/4 and x = 2

• (4x + 3)(x + 2); x = -3/4 and x = 2

Tags

CCSS.HSA-REI.B.4B

Using Complete the square, solve.

 $x^2+8x+23=1$  

•  $\pm4i\sqrt{6}$  

•  $-4\pm i\sqrt{6}$  

•  $-4\pm\sqrt{3}$  

•  $4\pm\sqrt{6}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7