Question

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

f(x) = 4(x + 7)^2(x - 7)^3
4, multiplicity 1; -7, multiplicity 3; 7, multiplicity 3
-7, multiplicity 3; 7, multiplicity 2
4, multiplicity 1; 7, multiplicity 1; -7, multiplicity 1
-7, multiplicity 2; 7, multiplicity 3

Answer 1

@jim_thompson5910

Answer 2

how far did you get?

Answer 3

I think it is either b or d

Answer 4

When you solve (x + 7)^2 = 0 for x, you get x = -7

this will have a multiplicity of 2 because that is the exponent

visually, this means that the parabola touches the x axis at -7. It does not cross over the x axis and come back up.

Answer 5

so (x-7)^3 would be root 7 and multiplicity of 3?

Answer 6

correct

Answer 7

having an odd multiplicity means the graph passes through that root

Answer 8

can you help me on one more?