alleryStart learning →A quadratic polynomial whose zeroes are 2 and 3 is
A$x^2 - 5x + 6$
B$x^2 + 5x + 6$
C$x^2 - 6x + 5$
D$x^2 - x - 6$
Answer & Solution
Correct answer: A. $x^2 - 5x + 6$
1. A quadratic with zeroes $\alpha,\beta$ is $x^2-(\alpha+\beta)x+\alpha\beta$.
2. Sum $=2+3=5$, product $=2\times3=6$.
3. So the polynomial is $x^2-5x+6$.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch9 'Polynomials', §9.3_
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