Polynomials and Zeros

The degree of the polynomial determines the max number of roots.

• True

• False

List the ACTUAL rational zeros of f(x) = x³ + 7x² - 2x -14 ?

• 7, 2

• 7

• - 7

List the possible rational zeros of f(x) = x³ - 4x² -4x + 16

• 1, 2, 4, 8, 16

• -2 and-4

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

Match the graph to the function

• f(x)= -x²+3x+2

• f(x) = -x³+2

• f(x) = x³+2

• f(x) = ⅓x⁴-5x²+2

Match the graph to the function

• f(x) = -x⁴-x³+5x²-6

• f(x) = x⁴+3x²-3x+1

• f(x) = -x³+2x²-x-6

• f(x) = x⁴+x³+5x²-6

f(x) = 2x³ - 3x² + 4x -10 State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0

What is the degree of f(x)?

• 3

• 2

• 1

• 0

Does this graph have an absolute minimum?

• Yes

• No

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12