Question

If alpha and beta are zeroes of polynomial x square -2x-8 ,then find value of alpha square +beta square

Answer 1

Answer:

20.

Step-by-step explanation:

Sum of zeroes is -( co-efficient of x )/( co-efficient of x^2) = 2 ( alpha + beta ).

Product of zeroes is ( constant term )/( co-efficient of x^2) = -8 ( alpha*beta ).

alpha square + beta square is (alpha + beta) the whole square - ( alpha* beta )

alpha square + beta square = 4 - (-16)

= 20.