Question

19. if alpha and beta are the zeros of the polynomial p(x)=x2- 2x + 8, find the value of alpha³×beta²+alpha²×beta³
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Answer 1

Answer:

128 is the answer

Step-by-step explanation:

x²-2x+8=0

x(x-4) +2(x-4)

x = +4 and -2

∝ = 4   &   β = -2

α³.β² + α².β³

=> (4)³ . (-2)² + (4)² . (-2)³

=> 64 . 4 + 16 . (-8)

=> 256 - 128

=> 128

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