If $2, 3$ are the zeroes of a quadratic polynomial, then polynomial is $x^2-5x+6.$
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Both assertion and Reason are correct and reason is the correct explanation for Assertion
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Both assertion and reason are correct but reason is not the correct explanation for Assertion
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Assertion is correct but reason is incorrect
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Assertion is incorrect but reason is correct
If 2 and 3 are zeroes, the polynomial is (x-2)(x-3) = x^2 - 5x + 6. Both the assertion and the reason are correct, and the reason explains the assertion.
Using the relationship between zeroes and coefficients, a quadratic polynomial is expressed as x^2 - (sum of zeroes)x + (product of zeroes). Substituting the zeroes 2 and 3 gives x^2 - (2+3)x + (2*3), which simplifies exactly to x^2 - 5x + 6. The assertion is perfectly justified by this stated reasoning.