Polynomials

CBSE Class 10 · Mathematics · 35 past questions

These are the board's own papers. 91 more board questions reprinted in the books we use in class are for signed-in students: sign in.

10 of 35 · show all

Q3 2026

$\alpha$ and $\beta$ are the zeroes of the polynomial $5x^2 - 16x - 10$. Find the value of…
Q5 Sample paper 2026-27

If $f(x) = px^2 + qx + r$, $p \neq 0$ and $p + r = q$, then one of the zeroes of $f(x)$ is…
Q6 Sample paper 2026-27

Assertion-
Reason Based Questions…
Q7 Sample paper 2026-27

If α and β are the zeroes of the quadratic polynomial $2x^2 - 8x + 5$, then find the value of…
Q13 2025

If $\alpha$ and $\beta$ are the zeroes of polynomial $3x^2 + 6x + k$ such that…
Q14 2025

Two polynomials are shown in the graph below. The number of distinct zeroes of both the polynomials is… (with a figure)
Q15 2025

Find the zeroes of the polynomial $p(x) = x^2 + \frac{4}{3}x - \frac{4}{3}$.
Q20 2024

The zeroes of a polynomial $x^2 + px + q$ are twice the zeroes of the polynomial $4x^2 - 5x - 6$. The value…
Q23 2024 (Basic)

If one of the zeroes of the quadratic polynomial $(\alpha-1)x^2+\alpha x+1$ is $-3$, then the value of…
Q35 2023 (Basic)

If $\alpha$, $\beta$ are zeroes of the quadratic polynomial $x^2 + 3x + 2$, find a quadratic polynomial whose…