Sample Problem

What equation is obtained when x^2 + 4x – 20 = 0 is solved using completing the square?

• (x – 2)^2 = 24

• (x + 2)^2 = 24

• (x – 2)^2 = -16

• (x + 2)^2 = -16

Which of the following is TRUE about the roots of x^3 - 13x – 12 = 0 ?

• It has a positive root greater than 5.

• It has two positive roots.

• It has negative root less than -4.

• -1 is one of its roots.

What would be the degree of the polynomial P(x) + Q(x) if m is the degree of P(x) and n is the degree of Q(x) where m = n?

• m + n

• m – n

• n – m

• m or n

What is the end behavior of the graph?

• falls to the left and rises to the right

• falls to the left and to the right

• rises to the left and to the right

• rises to the left and falls to the right

What is the leading coefficient of the polynomial function whose zeros are -3, -1/2, 1 and 4 ?

• 1

• 2

• 3

• 4

At what point is the graph of the polynomial function P(x) = (x + 3)(2x + 1)(x - 4)^2 tangent to the x-axis?

• (4, 0)

• (-3, 0)

• (-1/2, 0)

• (-4, 0)

Which polynomial function in factored form represents the graph?

• y = (x - 1)^2 (x + 3)^2

• y = (x + 1)^2 (x + 3)^2

• y = (x + 1)^2 (x - 3)^2

• y = (x - 1)^2 (x - 3)^2

Give a polynomial function of highest degree whose two zeros are -2 + i and 1.

• P(x) = x^3 + 3x^2 + x – 5

• P(x) = x^3 – 3x^2 + x – 5

• P(x) = x^3 + 3x^2 – x – 5

• P(x) = x^3 + 3x^2 – x + 5

How many possible positive roots does x^4 – 10x^2 + 9 = 0 have?

• 3

• 2 or 0

• 1

• 3 or 1

Which polynomial function has zeros 1, -2 and 4 where P(3) = -10?

• P(x) = (x + 1)(x + 2)(x – 4)

• P(x) = (x + 1)(x - 2)(x + 4)

• P(x) = (x - 1)(x + 4)(x + 2)

• P(x) = (x - 1)(x - 4)(x + 2)