Question

Please help with this question! It’s Algebra Math 2

Answer 1

Zero of 7 with a multiplicity of 3 means one factor is $(x-7)^3$

Zero of -1 with a multiplicity of 2 means one factor is $(x+1)^2$

Zero of 5 with a multiplicity of 1 means one factor is $(x-5)$

Multiplying, we get

$f(x) = (x-7)^3(x+1)^2(x-5)$

That's already in factored form so we leave it here.