# Class 10 Polynomials Important Questions

Important Questions Previous Years Questions**Polynomials Important Questions**

**If one of the zeroes of the cubic polynomial x**^{3}+ ax^{2}+ bx + c is -1, then the product of other two zeroes is**b – a + 1****b – a – 1****a – b + 1****a – b – 1**

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

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