SOLUTION: Find the zeroes of the following polynomial functions, and state the multiplicity of each. Does the graph cross or touch the x-axis at the zero? f(x) = (x + 4) 3 (x – 1)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the zeroes of the following polynomial functions, and state the multiplicity of each. Does the graph cross or touch the x-axis at the zero? f(x) = (x + 4) 3 (x – 1)       Log On


   

Question 907061: Find the zeroes of the following polynomial functions, and state the multiplicity of each. Does the graph cross or touch the x-axis at the zero?
f(x) = (x + 4) 3 (x – 1)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
I guess you have this: f%28x%29+=+%28x+%2B+4%29%5E3+%28x+-1%29, not f%28x%29+=+%28x+%2B+4%293+%28x+-1%29
the zeroes:
%28x+%2B+4%29%5E3=0 or +%28x+%2B+4%29%28x+%2B+4%29%28x+%2B+4%29+=0 if %28x+%2B+4%29+=0 => x=-4
since we have three times x%2B4, means that the multiplicity of zero x=-4 is 3
and %28x+-1%29=0 if x=1 => we have it only ones and the multiplicity of zero x=1 is 1



as you can see, the graph cross the x-axis at the zeros x=1 and x=-4