Question

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

f(x) = 5(x + 8)^2(x - 8)^3

Answer 1

this is an eyeball problem
you see from your eyes that \(-8\) is a zero of \((x+8)^2\)
you also see the multiplicity of the zero here
\[\large(x+8)^{2\leftarrow\text{right there}}\]

Answer 2

so \(-8\) is a zero of multiplicity 2

Answer 3

i am sure you can state the other zero, and its multiplicity as well

Answer 4

thanks a bunch! :) it really helped!