Polynomial Zeros from Graphs

Identify the zeros

• x=2, x=6, x=-4

• (x+2)(x+6)(x-4)

• (x-2)(x-6)(x+4)

• x=-2, x=-6, x=4

Is the leading coefficient positive or negative

• positive

• negative

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

• The x intercept is at (4, 0)

• The graph will "bounce" off that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

Which point does not represent a zero of a polynomial?

• (-2, 0)

• (-1, 0)

• (0, 4)

• (2, 0)

Tags

CCSS.HSA.APR.B.3

What could be the equation for this graph?

• y = -2x³ + 1x + 3

• y = (x - 2)(x + 1)(x + 3)

• y = (x + 2)(x - 1)(x - 3)

• y = -2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

Which of the following functions could represent the graph shown?

• f(x) = -2x⁵

• f(x) = -2x⁴ + 7x³ + 3x² -5x + 8

• f(x) = 2x⁵ + 3x⁴ - 3x³ + 5x² - 3x + 4

• None of these functions could represent the graph shown.

Tags

CCSS.HSA.APR.B.3

If a zero of a polynomial function has multiplicity 3 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

This graph is a(n)...

• Third degree polynomial

• Sixth degree polynomial

• Even function

• Fifth degree polynomial