Algebra 2 Polynomial Functions

f(x) = -3x⁴ + x³ - 2x² + x - 1 State the maximum number of turns the graph of f(x) could make.

• 3

• 4

• 2

• 1

What is the y-intercept of f(x)?

• (-1, 0)

• (0, -1)

• (-3, 0)

• (0, -3)

f(x) = x³ - 3x² - 4x
Find the zeros of f(x).

• {-4, 0, 1}

• {-1, 4}

• {-1, 0, 4}

• {-4, 1}

f(x) = 2x³ - x² -x

Find the zeros of f(x).

• {-½, 1}

• {-1, 0, ½}

• {-1, 0, 2}

• {-½, 0, 1}

f(x) = x³ - x² - x + 1

Find the zeros of f(x).

• {-1, 0, 1}

• {-1, 1}

• {1}

• {-1}

f(x) = x⁴ - 7x³ + 10x²

Find the zeros of f(x).

• {0, 2, 5}

• {0, 5}

• {-4, 0, 2}

• {0, 5/3, 2}

Write a polynomial function with the given zeros.

• A

• B

• C

• D

Simplify:

(4x³ + 2x² - 5x - 9) - (-3x³ - 5x² - x + 11)

• 7x³ + 7x² - 4x - 20

• 7x³ - 3x² - 6x + 2

• x³ - 3x² - 6x + 2

• x³ + 7x² - 4x - 20

What is the degree of the function:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

• 1

• 2

• 3

• 4

What is the leading coefficient of the function:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

• 6

• 3

• -3

• 4