SOLUTION: I need help with the following question: Find all rational zeros of the polynomial. {{{ y=2x^3+2x^2-50x-50 }}}

Algebra ->  Rational-functions -> SOLUTION: I need help with the following question: Find all rational zeros of the polynomial. {{{ y=2x^3+2x^2-50x-50 }}}      Log On


   

Question 616288: I need help with the following question: Find all rational zeros of the polynomial. +y=2x%5E3%2B2x%5E2-50x-50+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all rational zeros:
y=2x^3+2x^2-50x-50
y=2x^2(x+1)-50(x+1)
(x+1)(2x^2-50)=0
x+1=0
x=-1
or
2x^2-50=0
x^2-25=0
x^2=25
x=±√25=±5
zeros: -5, -1, and 5