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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Q4 2026 (Basic)

If $\alpha$, $\beta$ are the zeroes of polynomial $p(x) = 6x^2 - 5x - 3$, then find the value of…
Q16 2025 (Basic)

Find a quadratic polynomial whose sum and product of zeroes are 0 and $-9$, respectively. Also, find the…
Q19 2024

If the sum of zeroes of the polynomial $p(x) = 2x^2 - k\sqrt{2}x + 1$ is $\sqrt{2}$, then value of $k$ is…
Q21 2024

Directions : In Q. No. 19 and 20 a statement of Assertion (A) is followed by a statement of Reason (R).…
Q22 2024 (Basic)

For what value of $k$, the product of zeroes of the polynomial $kx^2 - 4x - 7$ is 2 ?
Q24 2024 (Basic)

Directions : In Q. No. 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).…
Q31 2023

The graph of y = p($x$) is given, for a polynomial p($x$). The number of zeroes of p($x$) from the graph is (with a figure)
Q32 2023

If $\alpha, \beta$ are the zeroes of a polynomial $p(x) = x^2 + x - 1$, then…
Q33 2023

Which of the following is a quadratic polynomial having zeroes $\dfrac{-2}{3}$ and $\dfrac{2}{3}$ ?
Q34 2023 (Basic)

The sum and the product of zeroes of the polynomial $p(x) = x^2 + 5x + 6$ are respectively