Polynomial Review

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

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Tags

CCSS.HSA.APR.A.1

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

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

Tags

CCSS.HSA.APR.A.1

(x²+5)(2x-3)

• 2x³-3x²+10x-15

• 2x³+10x²-3x-15

• 2x²+7x-15

• 2x²-7x+15

Tags

CCSS.HSA.APR.A.1

(3x+1)²

• 9x²+1

• 3x²+1

• 9x²+3x+1

• 9x²+6x+1

Tags

CCSS.HSA.APR.C.4

Divide: 
(6x + 9) / (3x)

• 2 + 9/3x
• 2 + 9
• 2 + 9/3
• 2

Tags

CCSS.HSA.APR.D.6

 $\frac{-18a^8b^3+9a^4b^6-63a^2b^9}{9^2b^3}$  

•  $-9a^4b+a^2b^2-54ab^3$  

•  $-9a^6+a^2b^3-54b^6$  

•  $-2a^6+a^2b^3-7b^6$  

•  $-2a^4b+a^2b^2-7ab^3$  

Factor
3x² + 5x - 12.

• (x + 3)(3x - 4)
• (3x + 4)(x - 3)
• (3x + 3)(x - 4)
• (3x - 3)(x + 4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
x² + 4x - 32

• (x+8)(x-4)
• (x-8)(x-4)
• (x-8)(x+4)
• (x+8)(x+4)

Factor 4b⁵ + 4b³ + 16b².

• 4b²(b³ + b + 4)
• 4(b⁵ + b³ + 4b²)
• 4b³(b⁴ + 4b + 5)
• 4b³(b⁴ + b² + 4b)

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = 3x² + 4x - 5

• Degree 2  (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)