Test: Polynomials (Medium) - Class 10 MCQ

Find the smallest solution in positive integers of x² - 14y² = 1.

Find the zeroes of the quadratic polynomial from the graph.

If one zero of polynomial (k² + 16) x² + 16x + 8k is reciprocal of the other, them k is equal to

The graph of f(x) is shown below. The number of zeroes of f(x) are:

The graph of a quadratic polynomial p(x) = ax² + bx + c is a parabola, opening downwards if

Sum of the zeroes of the polynomial p(x) = - 3x² + a is

The sum and product of zeroes of a quadratic polynomial are - 1 and - 6 respectively. The quadratic polynomial is given by

Number of zeroes of a polynomial of degree n is

Number of quadratic polynomials having - 2 and - 5 as their two zeroes is

Which of the following is not a graph of a quadratic polynomial?

If one zero of the quadratic polynomial 39 y² - (2k + 1)y - 22 is negative of the other, then the value of k is

If α and β are zeros of a quadratic polynomial such that α + β = 12 and α - β = 6. Them, the family of quadratic polynomials having α, β as its zeroes is given by

If α, β, γ are the zeroes of the polynomial p(x) = x³ + 6x² + cx + d, such that α + β = 2, then the value of γ is

If the zeroes of the quadratic polynomial x² + (a +1) x + b are 2 and - 3, then

When x⁴ + x³ - 2x² + x + 1 is divided by x - 1, them the remainder is

If α and β are the zeroes of the quadratic polynomial p(x) = x² + 2x - k such that α² + β² = 34, then the value of k is

Product of the zeros of the cubic polynomial P(x) = kx³ − 5x² − 12x + k