SOLUTION: Show that the given value(s) of "c" are zeros of P(x), and find all other zeros of P(x). P(x)=3x^4-8x^3-14x^2+31x+6, c=-2,3

Algebra ->  Equations -> SOLUTION: Show that the given value(s) of "c" are zeros of P(x), and find all other zeros of P(x). P(x)=3x^4-8x^3-14x^2+31x+6, c=-2,3       Log On


   

Question 1125752: Show that the given value(s) of "c" are zeros of P(x), and find all other zeros of P(x).
P(x)=3x^4-8x^3-14x^2+31x+6, c=-2,3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The two given zeros make the factor x%5E2-x-6.
Dividing into P(x) gives 3x%5E2-5x-1. .

These zeros, %285-sqrt%2837%29%29%2F6 and %285%2Bsqrt%2837%29%29%2F6.