How many roots does the polynomial function y=(x-8)(x+3)^2 have

2

Step-by-step explanation:

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

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: