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Formation of a Quadratic Equation From It's Roots

A quadratic p...

Question

A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is

(a) x² − 9
(b) x² + 9
(c) x² + 3
(d) x² − 3

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Solution

Since and are the zeros of the quadratic polynomials such that

If one of zero is 3 then

Substituting in we get

Let S and P denote the sum and product of the zeros of the polynomial respectively then

Hence, the required polynomials is

Hence, the correct choice is

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Q. The sum and product of the zeros of a quadratic polynomial are 3 and −10 respectively. The quadratic polynomial is

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Formation of a Quadratic Equation From It's Roots

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