Question

Let α and β are the zeroes of a quadratic polynomial 22 − 5 − 6 then form a

quadratic polynomial whose zeroes are + . ​

Answer 1

Answer: since alpha and beta are the zeroes of given polynomial x^2-2x-15

=x^2-2x-15

=x^2-5x+3x-15

=x(x-5)+3(x-5)

=(x-5)(x+3)

=. x=5&x=-3

therefore alpha=5β=-3

according to question

zeroes of other polynomial are alpha' =2alpha & beta'=2beta

therefore alpha'=10 & beta'= -6

polynomial=x^2-(10-6)x+10×-6

=x^2-4x-60

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