Question

Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 3(x + 8)2(x - 8)3

-8, multiplicity 2; 8, multiplicity 3

4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1

-8, multiplicity 3; 8, multiplicity 2

4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3

I think it's C.

Answer 1

**f(x)=3(x+8)^2(x-8)^3

Answer 2

First, is that \(f(x) = 3(x + 8)^2(x - 8)^3\)

Answer 3

yeah

Answer 4

Then what you do to solve these is set each factor to 0 and solve for x to find the 0s, then the power is the multiplicity. Watc your signs when doing this.

Answer 5

wait what do i set to zero? the numbers or the x's?

Answer 6

The factors with a variable.

Answer 7

\(f(x)=(x-a)^m(x+b)^n\) fins 0s and multiplicity example:

For \((x-a)^m\)

\(x-a=0\)

\(x-a+a=0+a\)

\(x=a\) with a multiplicity of \(m\).

For \((x+b)^n\)

\(x+b=0\)

\(x+b-b=0-b\)

\(x=-b\) with a multiplicity of \(n\).

Answer 8

oh i got it

Answer 9

So do you see what is wrong with C?