Polynomials

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

• -14p⁴ + 9p³ - 6
• -14p⁴ + 9p³ + 6
• -14p⁴ + 9p³ - 1
• -15p⁴ + 9p³ + 6

Tags

CCSS.HSA.APR.A.1

(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

(x+4)²

• x²+16
• x²-16
• x²+8x+16
• x²+8x-16

Tags

CCSS.HSA.APR.C.4

(u-5v)(u-5v)

• u²-25v²
• u²+25v²
• u²-10uv+25v²
• u²+10uv+25v²

Tags

CCSS.HSA.APR.A.1

FOIL  $\left(6x-7\right)\left(2x+3\right)$  

•  $12x^2+4x-10$  

•  $12x^2+4x-21$  

•  $8x^2-4x-21$  

•  $x^2+x-21$  

Tags

CCSS.HSA.APR.A.1

Which of the following is a perfect square trinomial?

• x² + 14x – 49 
• x² + 20x + 100 
• x² – 8x + 4 
• x² – 5x + 6 

Tags

CCSS.HSA.APR.C.4

Factor
k²+7x+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

5x² - 28x + 32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+7)

Factor by grouping:

3x³ - x² + 6x - 2

• (x²+2)(3x+1)

• (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the aboe

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3