Question

Asked Oct 1, 2019

Step 1

If "a" is a zero with multiplicity k then (x-a)^k is a factor of the polynomial.

-3 has multiplicity= 5 so, (x+3)^5 is a factor.

6/11 has a multiplicity = 3 so, (x-6/11)^3 is a factor.

0 has multiplicity =4 so, (x-0)^4 =x^4 is a factor.

Step 2

We then multiply all the factors to get the polynomial.

Answer: x^4(x+3)^5 (x-(6/11))^3

Step 3

We graph the function with graphing calculator and find where it cuts the x axis.

It cuts the x axis at x= -0.4

Or x= -2/5&nbs...

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