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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 2 · Set 2 · Q21
Find a quadratic polynomial whose zeroes are 2 and -7/5.
Find a quadratic polynomial whose zeroes are $\displaystyle 2$ and $\displaystyle -\frac{7}{5}$.
Marking-scheme solution
Sum of zeroes \(\displaystyle =2+\left(-\frac{7}{5}\right)=\frac{3}{5}\)
Product of zeroes \(\displaystyle =2 \times\left(-\frac{7}{5}\right)=-\frac{14}{5}\)
∴ Required quadratic polynomial is
\[x^{2}-\frac{3}{5} x-\frac{14}{5} \text { or } 5 x^{2}-3 x-14
\]
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CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.