In Exercises 11 20 find the real zeros of the given polynom

In Exercises 11 - 20, find the real zeros of the given polynomial and their corresponding multiplicities. Use this information along with a sign chart to provide a rough sketch of the graph of the polynomial. Compare your answer with the result from a graphing utility.

13. f(x) = 2(x 2)2 (x + 1)

Solution

f(x) = -2(x-2)²(x+1)

To find the zeroes we have to plug f(x)= 0

0=-2(x-2)²(x-1)

(x-2)²=0            x-1=0

x=2 with a multiplicity of 2                         x=1 with a multiplicity of 1