Polynomials Unit Test

Which of the following shows

9t² + 12t + 4

factored completely?

• (3t + 2)²

• (3t + 4)(3t + 1)

• (9t + 4)(t + 1)

Which of the following is equivalent to the expression below?

9x² - 16

• (3x - 4)²

• (3x - 4)(3x + 4)

• (3x - 8)(3x + 8)

Which expression is equivalent to t² - 36?

• (t - 6)(t - 6)

• (t + 6)(t - 6)

• (t - 12)(t + 3)

Which of the following is one of the factors of the expression below?

4x² - 25

• 4x - 5

• 2x + 1

• 2x - 5

Determine the roots of the polynomial. 
f(x) = -6x(x+4)(x-2)

• 0, -4, 2

• -6, -4, 2

• -6, 4, -2

• 0, 4, -2

What are the x and y intercepts of the graph?

• x-intercepts = -4, -1, 2, 1 multiplicity 2

  y-intercept = -8

• x-intercepts = -4, -1, 1, 2

  y-intercept = 0

• y-intercepts = -4, -1, 2, 1 multiplicity 2

  x-intercept = -8

• x-intercepts = 4, 1, -2, -1 multiplicity 2

  y-intercept = -8

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

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

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

What is the leading coefficient?

• Positive 

• Negative

• Odd 

• Even

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9