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.

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Q8 2025

If $-4$ is a zero of the polynomial $p(x) = x^2 - x - (2 + 2k)$, then the value of k is…
Q9 2025

If p and q are zeroes of the polynomial $p(y) = 21y^2 - y - 2$, then find the value of…
Q10 2025

If $\alpha$ and $\beta$ are the zeroes of the polynomial $p(x) = x^2 - ax - b$, then the value of…
Q11 2025

Zeroes of the polynomial p(x) = x² - 3√2 x + 4 are…
Q12 2025

Find the value(s) of 'k' so that the quadratic equation $4x^2 + kx + 1 = 0$ has real and equal roots.
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 $p(x) = x^2 + \frac{4}{3}x - \frac{4}{3}$.
Q16 2025 (Basic)

Find a quadratic polynomial whose sum and product of zeroes are 0 and $-9$, respectively. Also, find the…