Question

Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 4(x + 7)2(x - 7)3 open study

Answer 1

the zreos are r1 and r2
then the factoref rom is
f(x)=a(x-r1)(x-r2) where a is a constant

so

and also the mulplicty is how many times it repats
so
f(x)=4(x-(-7))^2(x-7)^3

so the roots are -7 multiplictiy 2 and 7 multiplicty 3