List of top Mathematics Questions on Geometrical Meaning of the Zeroes of a Polynomial asked in CBSE Class X

Observe the graph of polynomial p(x). The zeroes of the polynomial are
Observe the graph of polynomial p(x). Number of zeroes of p(x) is
Observe the graph of polynomial p(x). Number of zeroes of p(x) is
At which of the following points, the quadratic polynomial \(p(x) = - 3x + 18x^2 - 1\) intersects the positive x-axis ?
The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are
The graph of $y = f(x)$ is given. The number of zeroes of $f(x)$ is :
The graph of a polynomial \(p(x)\) is shown here. The number of zeroes of the polynomial \(p(x)\) is
The graphs of \(y = p(x)\) are given in Fig. 2.10 below, for some polynomials \(p(x)\) . Find the number of zeroes of \(p(x)\), in each case
(I)
(ii)
(iii)
(iv)
(v)
(vi)

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

(i) \(x^2 – 2x – 8\) (ii) \(4s^2 – 4s + 1\) (iii) \(6x^2 – 3 – 7x\) (iv) \(4u^2 + 8u\) (v) \( t^2 – 15\) (vi) \(3x^2 – x – 4\)