Answer:
the given polynomial has two roots
Step-by-step explanation:
the polynomial function y=(x-8)(x+3)^2
To find the number of roots we look at the exponent of each factor
(x-8) has exponent 1 , x=8 is a root (one root)
(x+3)^2 has exponent 2 , x=-3 is one of the root
(x+3)^2=0
take square root on both sides
x+3=0
x= -3
So the given polynomial has two roots 8 and -3
