Mathematics · Polynomials · NCERT Examples

Example 4

A complete, independently verified solution for NCERT Example 4.

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Mathematics · Chapter 2 · NCERT Examples

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Verified NCERT questions and solutionsSolutions are checked independently and follow the supplied NCERT chapter edition.

NCERT Example

Example 4

forming a quadratic polynomial · sum and product of zeroes

Find a quadratic polynomial whose zeroes have sum −3 and product 2.

Solution

x2−(α+β)x+αβ=x2+3x+2x^2-(\alpha+\beta)x+\alpha\beta=x^2+3x+2

Every non-zero real multiple of this polynomial has the same zeroes.

Final answer

x2+3x+2x^2+3x+2

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