✓ Board-verified
Mathematics · 2025 · 2 marks
CBSE 2025 · Region 1 · Set 1 · Q22
Find the zeroes of the polynomial p ( x )= x^2+4/3 x -4/3.
Find the zeroes of the polynomial $\displaystyle \mathrm{p}(\mathrm{x})=\mathrm{x}^{2}+\frac{4}{3} \mathrm{x}-\frac{4}{3}$.
Marking-scheme solution
\[\begin{aligned}
& \frac{1}{3}\left(3 x^{2}+4 x-4\right) \\
= & \frac{1}{3}\left(3 x^{2}+6 x-2 x-4\right) \\
= & \frac{1}{3}(3 x-2)(x+2)
\end{aligned}
\]
Zeroes are \(\displaystyle \frac{2}{3}\), -$\displaystyle 2$
More from Polynomials
- A polynomial p(x), which has sum of its zeroes equal to their product, is:2026
- If α, β are the zeroes of the polynomial p(x)=x^2-3 x-1, then find the value of 1/(α)+1/(β).2026
- Find the zeroes of the quadratic polynomial x^2-15 and verify the relationship between the zeroes and the coefficients of the polynomial.2024
- If α, β are zeroes of the polynomial x^2-1, then value of (α+β) is:2023
- If α and β are the zeroes of the polynomial p(x)=x^2-a x-b, then the value of (α+β+α β) is equal to:2025
- If one zero of the polynomial p(x)=6 x^2+37 x-(k-2) is reciprocal of the other, then find the value of k.2023
- α and β are zeroes of a quadratic polynomial x^2-a x-b. Obtain a quadratic polynomial whose zeroes are 3 α+1 and 3 β+1.2025
- If α and β are the zeroes of the polynomial a x^2-x+c. Obtain a polynomial whose zeroes are α-3 and β-3.2025
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.