Sunday, February 28, 2010

2010/020) Form a cubic equation with odd coefficients and rational root that fits x^3 + ax + b

because coefficient of x^3 is 1 so rational roots are integers say m, n , p

product is b odd so all roots (b= -mnp) are odd

coefficient of x^2 = -(m+n+p) = 0 which is not possible as m n and p are odd

so no solution

No comments: