SOLUTION: find the zeroes of the polynomial function f(x)=x^2(x-4)^3(5x+2) and state the multiplicity of each

Algebra ->  Trigonometry-basics -> SOLUTION: find the zeroes of the polynomial function f(x)=x^2(x-4)^3(5x+2) and state the multiplicity of each      Log On


   

Question 1137099: find the zeroes of the polynomial function f(x)=x^2(x-4)^3(5x+2) and state the multiplicity of each
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E2%2A%28x-4%29%5E3%2A%285x%2B2%29
to find the zeroes of the polynomial just set f%28x%29=0; your polynomial is already written as a product of factors
x%5E2%2A%28x-4%29%5E3%2A%285x%2B2%29=0
x%5E2=0=>x=0->multiplicity 2
%28x-4%29%5E3=0=>x=4-> multiplicity 3
%285x%2B2%29=0=>x=-2%2F5-> multiplicity 1