Rationals and Polynomials

Is (x-7) a factor of (x²-5x+14)?

• Yes

• No

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

Which term is missing in this problem?
(2x³ + 5x² + 9) ÷
(x + 3)

• x⁴

• x³

• x²

• x

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0

• 2x-10

• -2x-10

• 2x+10

What are the zeros of the polynomial and state their multiplicity at each.
y = (x - 5)(x + 2)²

• x = 5 multi 1,  x = 2 multi 2

• x = -5 multi 2, x = -2 multi 1

• x = 5 multi 1, x = -2 multi 2

• x = 5 multi 2, x = -2 multi 1

Write a polynomial in factor form with zeros at x = 1, x = -1 x = 0

• (x - 1)(x + 1)

• x(x - 1)(x + 1)

• x²(x - 1)(x + 1)

• x(x - 1)(x - 1)

What are the solutions for the polynomial x³ + 4x² = 12x

• x = 1, x = 4, and          x = 12

• x = 0, x = 1, and         x = 4

• x = 0 and x = 2

• x = 0, x = 2 and          x = -6

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

• 2 (Mult of 3), 7 (mult 1)

• 0, 2, 7

• 2 (mult of 2), 7 (mult of 3)

Is there a hole or a vertical asymptote?

• A hole when x = 2

• A vertical asymptote at x = 2

• there is no hole or vertical asymptote

Find the oblique asymptote.

• y = 3x - 12

• y = x + 5

• y = 3x - 5

• y = 3x - 7