Polynomial Practice

This firgure represents which product of binomials?

• (2x+3y)(x-4y)

Find the product of (-8+5n) and (5n +8):

• 25n²-64

• 10n²

• 5n²+16

• 16

Please select the solution that describes if zeros cross or bounce at the x-axis for each x-intercept.

• 2 crosses, 1 crosses, -3 bounce, -4 bounce   

• 1 crosses, -3 bounce, - 4 crosses

• 1 crosses, -3 bounce, -4 bounce 

• 1 bounce, -3 crosses, -4 crosses  

Describe the multiplicity of each zero.

• -4 multiplicity of 2, -2 multiplicity of 2

• -4 multiplicity of 1, -2 multiplicity of 1

• 2 multiplicity of -4, 2 multiplicity of -2

• -4 multiplicity of 1, -2 multiplicity of 2

What are the zeros?

• x = - 4

• There are none

• x = - 1.5 & 1.5

• x = - 3.5 and 3.5

What are the decreasing intervals?

• (- ∞, -1.5) & (0, 1.5)

• [-1.5, 0) & [1.5, ∞)

• (- ∞, -1.5] & [-1.5, 0)

• (-1.5, 0] & [0, 1.5)

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

Given the polynomial f(x) = 3x + 7x³ - 9x⁵ +11 - 5x Which of the following is in standard form?

• f(x) = 7x³ - 9x⁵ +11 - 2x

• f(x) = - 9x⁵ + 7x³ +11 - 2x

• f(x) = - 9x⁵ + 7x³ - 2x +11

• f(x) = 11 - 9x⁵ + 7x³ - 2x

Is the leading coefficient positive or negative

• positive

• negative

Check all the intervals where this graph is decreasing.

• (-∞, -1)

• [-1, 0]

• [0, 1]

• [1, ∞)