Question

P(x)=x2-4x+3 find alpha^4 beta^3 +alpha^3 beta^4

Answer 1

Answer:

p(x) = x^2-4x+3

= x^2-3x-x+3

= x(x-3) -1(x-3)

= (x-3) (x-1)

x = 3 , x = 1

alpha = 3, beta = 1

alpha^4 beta^3 + alpha^3 beta^4

3^4×1^3 + 3^3×1^4

= 81×1 + 27×1

=81+27

= 108

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