SOLUTION: how do you find the zeros of each function? for example y=(x+5) cubed and y=x(x-8) squared. Do you just set everything to zero?

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Question 652708: how do you find the zeros of each function? for example y=(x+5) cubed and y=x(x-8) squared. Do you just set everything to zero?
Found 2 solutions by solver91311, Shana-D77:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Typically, is the dependent variable and is the independent variable. To find the zero(s) of a function, set the dependent variable to zero and solve for the value(s) of the independent variable.

John

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Answer by Shana-D77(132) About Me  (Show Source):
You can put this solution on YOUR website!
Yes! Just set y=0 and find what x would need to be:
In 0=(x+5)^3
If x = 5 then y=0. So you have a zero (root) at (5, 0).
In y=x(x-8)^2
if x=0 then then y=0 because that x on the outside of the ( ) will delete everything else.
If x=8 then the parenthesis would be (0)^2, also deleting everything on the right to make y=0.
So you have two zeros at (0, 0) and at (8, 0).