SOLUTION: Hey I need help solving this. f(x) = x^3 − 2x^2 − 16x + 32 What are the zeros of this polynomial function? and what are the multiplicity of each zero and the numbe

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Hey I need help solving this. f(x) = x^3 − 2x^2 − 16x + 32 What are the zeros of this polynomial function? and what are the multiplicity of each zero and the numbe      Log On


   

Question 976974: Hey I need help solving this.
f(x) = x^3 − 2x^2 − 16x + 32
What are the zeros of this polynomial function? and what are the multiplicity of each zero and the number of turning points of the graph of the function?
Thank you
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E3+-2x%5E2-16x+%2B+32......set f%28x%29+=0, then group
0+=+%28x%5E3+-2x%5E2%29-%2816x+-+32%29
0+=+x%5E2%28x+-2%29-16%28x+-+2%29
0+=+%28x%5E2-16%29%28x+-+2%29
0+=+%28x%5E2-4%5E2%29%28x+-+2%29
0+=%28x-4%29%28x%2B4%29%28x-2%29
zeros:
0+=%28x-4%29=>x=4
0+=%28x%2B4%29=>x=-4
0+=%28x-2%29=>x=2
the multiplicity of each zero is 1
the number of turning points of the graph of the function is 2

+graph%28+600%2C+600%2C+-60%2C+60%2C+-60%2C+60%2C+%28x-4%29%28x%2B4%29%28x-2%29%29+