Polynomials Review

Add or Subtract to Simplify:
 (x + 2x²) + (4x² + 7x)

• 6x² + 8x
• 8x² + 6x
• 2x² + 6x
• 2x² + 8x

Tags

CCSS.HSA.APR.A.1

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 
• x + 2
• 2x² + x - 10 
• x - 10 

Tags

CCSS.HSA.APR.A.1

Add or Subtract to Simplify:
(x⁵ + x³) - (6x - x³ + 6x⁵)

• -5x⁵ + 2x³ - 6x
• 7x⁵ - 6x
• -5x³ + 2x² - 6x
• -5x⁵ - 6x

Tags

CCSS.HSA.APR.A.1

Add or Subtract to Simplify:
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 4
• b⁴ - 2b³ + 7
• 5b⁴ - 2b³ + 7

Tags

CCSS.HSA.APR.A.1

(x-3)(x²+2x+7)

• x³-x²+x-21
• x³+5x+13x-21
• x³-3x²+7x-21
• x²+2x-3

Tags

CCSS.HSA.APR.A.1

Factor
5x²-28x+32

• (3x-10)(x+6)
• (x-8)(5x-4)
• (5x-8)(x-4)
• (5x-8)(x+7)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.B.2

Factor completely:
4x² - 121

• (2x + 11) (11 - 2x)
• (2x - 11) (2x - 11)
• (2x + 11) (2x + 11)
• (2x + 11) (2x - 11)

Tags

CCSS.HSA.APR.C.4

7r³-8r²+42r-48

• (r²+6)(7r+8)
• (r²+6)(7r-8)
• (r²+6)(r²+8)
• (r²+6)(7r+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

The graph represents the polynomial  $f\left(x\right)=x^4-6x^3+9x^2+4x-12$ . Which polynomial represents the factored form?

•  $f\left(x\right)=\left(x+1\right)\left(x-2\right)^2\left(x-3\right)$  

•  $f\left(x\right)=\left(x-1\right)\left(x+2\right)^2\left(x+3\right)$  

•  $f\left(x\right)=\left(x+1\right)\left(x-2\right)\left(x-3\right)$  

•  $f\left(x\right)=\left(x-1\right)\left(x+2\right)\left(x+3\right)$  

What is the equation of the graph in factored form?

• $f\left(x\right)=\left(x+2\right)\left(x-3\right)$

• $f\left(x\right)=\left(x-2\right)\left(x+3\right)$

• $f\left(x\right)=\left(-x+2\right)\left(x-3\right)$

• $f\left(x\right)=\left(x+6\right)\left(x-6\right)$