Sem2 Pre-Calculus Final Review #2 (Chapter 5)

Solve the equation 2x³ - 19x² + 38x + 24 = 0 given that 4 is a zero of f(x) = 2x³ - 19x² + 38x + 24

• x = 4, -1, 3

• x = 4, 1, -3

• x = 4, -6, ½

• x = 4, 6, -½

Use the Rational Zero Theorem to list all possible rational zeros for the function f(x) = 7x³ - x² + 3

• ±1/3, ±7/3, ±1, ±7

• ±1/7, ±3/7, ±1, ±3

• ±1/7, ±3/7, ±1, ±3, ±7

• ±1/7, ±1/3, ±1, ±3, ±7

State the degree of the polynomial equation.

f(x) = 2(x + 8)²(x - 8)³

• 5

• 3

• 2

• 6

Write a polynomial equation with real coefficients that has the given roots: 0, -1, 7.

• f(x) = x³ + 6x² - 7x

• f(x) = x² + 6x + 7

• f(x) = x³ - 6x² - 7x

• f(x) = x³ - 7x

Tags

CCSS.HSA.APR.B.3

Find all zeros of the polynomial function.

f(x) = x³ - 6x² + x - 6

• -6, 6, i

• 6, -i, i

• -6, -i, i

• -1, 1, 6

Find the remainder when x⁵ + x³ + 5 is divided by x - 2

• 41

• 45

• 11

• 0

Tags

CCSS.HSA.APR.B.2

Find the domain of the rational function.

• (-∞, 4) ⋃ (4, 6) ⋃ (6, ∞)

• (-∞, ∞)

• (-∞, -6) ⋃ (-6, -4) ⋃ (-4, ∞)

• (-∞, -2) ⋃ (-2, 4) ⋃ (4, 6) ⋃ (6, ∞)

Find the vertical asymptote(s).

• x = -16

• x = 6, x = 2, x = -16

• x = 6, x = 2

• x = -6, x = -2

Tags

CCSS.HSF-IF.C.7D

Find the end behavior asymptote of the rational function.

• y = -5/3

• y = -5

• y = -2/7

• y = 0

Tags

CCSS.HSF-IF.C.7D

Sketch the graph of the polynomial:

f(x) = x(x - 3)²(x + 4)

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