Question

If A andB are the zeroes of polynomial p(x)4x2-5x-1 finf the value of A2B+AB2

Answer 1

we can take general equation of quadratic equation kx2+k1x+c=0. then roots be a and b. a+b=-k1/k. ab=c/k. so hence on comparing we get a+b=5/4. ab=-1/4. ab(a+b)=5/4(-1/4)=-5/16.