Question

can anyone help ?
how to do this ?

If a and B are the zeroes of the quadratic polynomial p(s)=3s^2-6s+4 , find the value of a^4B^3 + a^3B^4

Answer 1

use the quadratic formula to find the 2 zeros of this expression. you will get a complex conjugate pair.

write a^4B^3 + a^3B^4 as
(aB)^3 * (a+B)

a*B will be a real number (the magnitude squared of a* conj(a) )
a+B will be a real number = 2* real(a)

Answer 2

thanks a lot ..........