Question

6. Form a quadratic polynomial whose one of the zeroes is +15 and sum of the zeroes
is 42.

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Answer 1

Sum of zeroes= 15

Product of zeroes = 42

So by formula,

x^2-(Sum of zeroes)x+(Product of zeroes).

x^2-15x+42. this is the answer.

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Answer 2

hey, here is your answer

let, alpha and beta are roots of quadratic equation.

therefore, quadratic equation becomes x^2 - (alpha +beta) x + alpha × beta

given that, alpha + beta = 42

and alpha = 15

therefore, beta = 42 - 15

= 27

therefore, alpha × beta = 405

therefore, quadratic equation -------

x^2- 42x + 405