Class 10 Polynomials Important Questions

Important Questions Previous Years Questions

Polynomials Important Questions

1. If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is -1, then the product of other two zeroes is
   1. b – a + 1
   2. b – a – 1
   3. a – b + 1
   4. a – b – 1
2. Find a quadratic polynomial, the sum and product of whose zeroes are √2 and -3/2 respectively. Also find its zeroes.
3. If the remainder on division of x³ + 2x² + kx + 3 by x-3 is 21, find the quotient and the value of k. Find the zeroes of the cubic polynomial x³ + 2x² + kx – 18.
4. Given that √2 is a zero of the cubic polynomial 6x³ + √2x² – 10x – 4√2, find its other two zeroes.
5. Find the zeroes of quadratic polynomial 4u² + 8u and verify the relationship between the zeroes and the coefficients.
6. If one zero of the polynomial (a² + 9)x² + 13x + 6a is reciprocal of the other, find the value of ‘a’.
7. Find a quadratic polynomial whose zeroes are -4 and 3 and verify the relationship between the zeroes and the coefficients.
8. If one of the zeroes of the quadratic polynomial f(x) = 4x² – 8kx – 9 is equal in magnitude but opposite in sign of the other, then find the value of k.