Polynomial Graphs and Their Multiplicities

State the zero(s) and their multiplicity for the given polynomial

• (-2, 0)

• -2, 3, 36

• -2 M:2, 3M:2

• -2 M:2, 3M:2, 36M:1

Tags

CCSS.HSF-IF.C.7C

Which 2 of the 4 polynomial functions below have a multiplicity of 4 for the x-intercept (-3, 0)?

Tags

CCSS.HSF-IF.C.7C

Even multiplicities on a factor of a polynomial create a graph that............

• Touches or bounces like a ball off the y-axis.

• Touches or bounces like a ball off the x-axis.

• Crosses or passes through the y-axis

• Crosses or passes through the x-axis

What is a possible equation, in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

Find the multiplier for the equation of the graph.

y = a(x-3)(x+1)

• a = -1

• a = 1

• a = -2

• a = 2

Tags

CCSS.HSF-IF.C.7A

Find the multiplier for the equation of the graph.

y = a(x-3)²(x+1)

• a = 1/2

• a = 1

• a = 2

• a = 4

Tags

CCSS.HSA.APR.B.3

State the y - intercept(s) for the given polynomial

• (-2, 0), (3, 0)

• (0, -2), (0, 3)

• (36, 0),

• (0, 36)

What would be the minimum degree of the polynomial based on the graph shown and why?

• 4th degree polynomial determined by the graphs end behavior.

• 4th degree polynomial because the graph has 4 hills and valleys.

• 5th degree polynomial because the graph crosses the x-axis 5 times.

• 5th degree polynomial determined by the graphs end behavior.

Select 2 of the 4 graphs below that are based on an even degree polynomial?

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