SOLUTION: Find the zeros of each functin. State the multiplicity of multiple zeros. y=(2x+5)(x-3)^2

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Question 1053644: Find the zeros of each functin. State the multiplicity of multiple zeros.
y=(2x+5)(x-3)^2
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Set each factor equal to 0 and solve for x
2x+5=0, x+-2 1/2
x-3=0, x=3, with multiplicity 2 (the square). It has a "bounce" graphically.
graph%28300%2C300%2C-10%2C10%2C-10%2C50%2C%282x%2B5%29%28x-3%29%5E2%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
x = -5%2F2 is one root,


x = 3 is the second root of the multiplicity 2.