Question

If alpha and beta are the zeros of the quadratic polynomial f(x) = x^2-4x+3 . find the value of alpha^3*beta^4+alpha^4*beta^3

Answer 1

Answer:

108

Step-by-step explanation:

alpha + beta = 4 & alpha * beta = 3

let alpha be a & beta be b

a^3*b^4 + a^4*b^3 = a^3*b^3 (a+b)

= (ab)^3 * (a+b)

= 3³ * 4 = 27*4 = 108