SOLUTION: Please help: Find the zeros of P(x) = (x^2 - 25)(x + 1)^3 and state the multiplicity of each zero.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help: Find the zeros of P(x) = (x^2 - 25)(x + 1)^3 and state the multiplicity of each zero.      Log On


   

Question 64797: Please help: Find the zeros of P(x) = (x^2 - 25)(x + 1)^3 and state the multiplicity of each zero.
Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
P%28x%29+=+%28x%5E2+-+25%29%28x+%2B+1%29%5E3
The first bracket factorises to give %28x%2B5%29%28x-5%29
P%28x%29+=+%28x%2B5%29%28x-5%29%28x+%2B+1%29%5E3
So the zeroes are -5 (once), +5 (once), and -1 (three times)