Question

If alpha and beta are the values of the polynomial x^2-x-6 then find the value of 5 alpha+6beta +alpha beta
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Answer 1

If , α and β are the Zeroes of the Polynomial P(X) then it can be written as ,

=> X²- (α+β) X + (αβ)

Now comparing the polynomial f(X)=X² -X+6 with X²- (α+β) X + (αβ) we get ,

⟶(α+β) = 1

⟶αβ = 6

(/p)(p) so 1/α+ 1/β(/p)(p)so1/α+1/β

I hope it's helpful for you..