Multiplicity of Polynomials and Graphs

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3

• 0, -1, 3

• 1, -3

• 0, -3, 1

What is another word for zeros?

• solutions

• x -intercepts

• roots

• All of the these!

identify zeros

• (-1,0)

• (0,-1)

• (-0.333,1.333)

• (0.333,0)

How many zeros can this function have?

• 0-5

• 1-5

• only 1

• must have all 5

Does (-1,0) have multiplicity of 1 or 2?

• 1

• 2

• 0

Does (1,0) have multiplicity of 1 or 2?

• 1

• 2

• 0

increasing/decreasing

• always increasing

• always decreasing

• does not always increase

• does not always decrease

Which of the following polynomial functions has a real zero with a multiplicity of 2?

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•