Question

Please help with this question. I appreciate it

Answer 1

we are given

zeros : x=1 with multiplicity

so, we can write as

$y=(x-1)^2$

now, we are given

zeros : x=-2 with multiplicity =1

so,

$y=(x-(-2))^1$

now, we can combine them

and we get

$f(x)=(x-1)^2(x-(-2))^1$

$f(x)=(x-1)^2(x+2)$.............Answer