Question

if α and β are the zeroes of the quadratic polynomial fx=x^2-4x+3,find the value of α^4β^3+α^3β^4

Answer 1

x^2-4x+3=0x^2-3x-x+3=0x(x-3)-1(x-3)=0(x-1)(x-3)=0x=1{let alfa(a)}   x=3{let beta(b)}1^4(3^3)+1^3(3^4)27+81109