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Graphing Polynomial A polynomial function P is given.

(a) Determine the multiplicity of each zero of P.

(b) Sketch a graph of P.

 

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Jyotsana Prakash
Jyotsana PrakashLv10
19 Mar 2021

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Find a fourth-degree polynomial with integer coefficients that has zeros 4i and −1, with −1 a zero of multiplicity 2.

P(x) =

For the polynomial f(x) = (1/5)x(x2 - 5), list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept.
a. 0, multiplicity 1, touches x-axis; √5, multiplicity 1, touches x-axis; -√5, multiplicity 1, touches x-axis
b. 0, multiplicity 1, crosses x-axis; √5, multiplicity 1, crosses x-axis; -√5, multiplicity 1, crosses x-axis
c. √5, multiplicity 1, touches x-axis; -√5, multiplicity 1, touches x-axis
d. 0, multiplicity 1

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