SOLUTION: Find the zeros of the polynomial​ function, and state the multiplicity of each.
f(x)=x^3(x-5)^2(x+9)
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Question 1037195: Find the zeros of the polynomial function, and state the multiplicity of each.
f(x)=x^3(x-5)^2(x+9)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
is given in fully factored form.
The zeros are the values of that make a factor (and hence the product function) zero.
They are:
, with multiplicity ,
because the factor appears with the exponent in the fully factored expression of ,
, with multiplicity ,
because the factor appears with the exponent in the fully factored expression of , and
, with multiplicity ,
because the factor appears with no exponent
(which is the same having as the exponent)
in the fully factored expression of .
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