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Mathematics · 2025 · 3 marks
CBSE 2025 · Region 6 · Set 3 · Q31
Find the zeroes of the polynomial r (x)=4 x^2+3 x-1. Hence, write a polynomial whose zeroes are reciprocal of the zeroes of polynomial r (x).
Find the zeroes of the polynomial $\displaystyle \mathrm{r}(x)=4 x^{2}+3 x-1$. Hence, write a polynomial whose zeroes are reciprocal of the zeroes of polynomial $\displaystyle \mathrm{r}(x)$.
Marking-scheme solution
\(\displaystyle \mathrm{p}(x)=4 x^{2}+3 x-1\)
Zeroes are \(\displaystyle \frac{1}{4},-1\)
New zeroes $\displaystyle 4$, -$\displaystyle 1$
Sum of new zeroes \(\displaystyle =4+(-1)=3\)
Product of zeroes \(\displaystyle =4 \times(-1)=-4\)
Required polynomial is \(\displaystyle \left(x^{2}-3 x-4\right)\)
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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.