SOLUTION: for the following function, one zero is given. find the other zeros. P(x)=x^3-6x^2+3x+10; -1

Algebra ->  Rational-functions -> SOLUTION: for the following function, one zero is given. find the other zeros. P(x)=x^3-6x^2+3x+10; -1      Log On


   

Question 86648: for the following function, one zero is given. find the other zeros.
P(x)=x^3-6x^2+3x+10; -1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given one of the zeros (x = -1), find the other zeros of:
P%28x%29+=+x%5E3+-+6x%5E2+%2B+3x+%2B+10 First, if x = -1 then x+1 = 0 and this is one of the three solutions to this equation.
Divide the quadrinomial by (x+1) to get x%5E2-7x%2B10.
Now factor this quadratic to get %28x-2%29%28x-5%29.
These are the other two solutions, so...
x+=+2+and+x+=+5 are the other zeros.