APPC 2.1-2.4 PRACTICE Quiz

What is an equation, in factored form, for a polynomial function with x-intercepts of -8, 2 and 5, with a multiplicity of 2?

• y = 2(x - 8)(x + 2)

  (x + 5)

• y = 2(x - 8)(x - 2)(x - 5)

• y = (x + 8)(x - 2)

  (x - 7)^2

• y = (x + 8)(x + 2)

  (x + 5)^2

Use a graphing calculator to find the real zeros of this function: y = 4x^3 + 8x^2 - 36x - 72

• -2, 2 and 3

• -2 and 10

• -3, -2 and 3

• 2 and -10

Factor completely (2 steps! Use notebook paper) x^3 - 2x^2 - 15x

• x(x - 5)(x + 3)

• x(x - 5)(x - 3)

• -3(x + 5)(x + 3)

• x^2(x + 15)(x - 1)

y = 1/2 (x - 1)^2(x + 5) What is the DEGREE of this function?

• A) 2

• B) 3

• C) 4

• D) 5

For the function y = 1/2 (x - 1)^2(x + 5), what do you know about the zeros? List the zeros. Hint: how do they look different on the graph?

For the polynomial graph at the left, describe its end behavior.

• Increases left & decreases right.

• Decreases left & increases right.

• Increases left & increases right.

• Decreases left & decreases right.

What do you know about the degree of this function?

• It is odd

• It is even

• It is neither odd or even

What do you know about the leading coefficient of this function? (It is also called the vertical stretch factor)

• a = 0

• a > 0

• a < 0

• a is a fraction

If the ordered pair (1, -8) is on the graph of an even function with a domain of all reals, what other point is guaranteed to be on the graph?

• (-1, -8)

• (-1, 8)

• (1, -8)

• (1, 8)

Solve the following quadratic equation, using the quadratic formula:

x² + 6x + 10 = 0