Chapter 6 Review

(2x³)²

• 2x⁶
• 4x⁵
• 4x⁶
• 2x⁵

 x⁷y^4
_____
x^-1y⁸

• x^{8
  ___}
  y⁴
  
• y^{4
  ___}
  x⁸
  
• x⁸y⁴
• 1
  ^___
  x⁸y⁴

1 + 3x - x^-3
Is the function a polynomial function?
Yes or No?
If yes, write the polynomial function in standard form, state its degree, and its leading coefficient.

• No
• Yes
  3x +1 - x^{-3
  Degree: 1
  L.C.: 3}
• Yes
  x^-3+3x+1
  Degree: -3
  L.C.: 1
• Yes
  1+3x-x^{-3
  Degree: 0
  L.C.: 1}

6 + 4x - x³
Is the function a polynomial function?
Yes or No?
If yes, write the polynomial function in standard form, state its degree, and its leading coefficient.

• No
• Yes
  4x + 6 - x^{3
  Degree: 1
  L.C.: 4}
• Yes
  -x³+ 4x + 6
  Degree: 3
  L.C.: -1
• Yes
  x³ + 4x + 6
  ^{Degree: 3
  L.C.: 1}

Evaluate the polynomial when x = 4 using direct substitution.
f(x) = 2x³ - 3x² + 4x + 2

• 18
• 386
• 98
• 177

Describe the end behavior of the graph of f(x) = -x³ + 3x² - 6

• left up, right down
• left up, right up
• left down, right down
• left down, right up

Subtract.
(-6x² + 5x − 2) − (7x² − 5x − 8)

• -13x² − 10
• x² + 10x + 6
• -13x² + 10x + 6
• x² + 6

Perform the indicated operation.
(x − 2)³

• x³ − 8
• x³ − 6x² + 12x − 8
• -6x³ + 12x − 8
• x³ − 4x + 2

Factor completely
x³ − 3x² − 16x + 48

• (x² − 16)(x − 3)
• (x − 4)(x + 4)
• (x² − 16)
• (x − 4)(x + 4)(x − 3)

Factor completely
36x⁴ − 9x²

• 9x²(2x − 1)(2x + 1)
• (2x − 1)(2x + 1)
• 36x²(x² − 9)
• x²(36x² − 9)