# Class 10 Polynomials Previous Years Questions

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

- The number of zeroes for a polynomial p(x) where graph of y = p(x) is given in figure is-

- 3
- 4
- 0
- 5
**[CBSE 2020] [1 Mark]**

- If x = 3 is one root of the quadratic equation x
^{2}– 2kx – 6 = 0, then find the value of k.**[CBSE 2018] [1 Mark]** - Find the value of p, for which one root of the quadratic equation px
^{2}– 14x + 8 = 0 is 6 times the other.**[CBSE 2017] [2 Marks]** - Find all zeroes of the polynomial (2x
^{4}– 9x^{3}+ 5x^{2}+ 3x – 1) if two of its zeroes are (2 + √3) and (2 – √3).**[CBSE 2018] [3 Marks]** - Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial g(x),

where p(x) = x^{5}– 4x^{3}+ x^{2}+ 3x + 1. g(x) = x^{3}– 3x + 1**[CBSE 2019] [3 Marks]** - If 2/3 and -3 are the zeroes of polynomial ax
^{2}+ 7x + b, then find the value of a and b.**[CBSE 2019] [3 Marks]** - If the polynomial x
^{4}+ 2x^{3}+ 8x^{2}+ 12x + 18 is divided by another polynomial x^{2}+ 5, the remainder comes out to be px + q. Find the value of p and q.**[CBSE 2009] [3 Marks]** - If α and β are zeroes of the quadratic polynomial x
^{2}– 6x + a; find the value of ‘a’ if 3α + 2β = 20.**[CBSE 2010, 2011] [3 Marks]** - Obtain other zeroes of the polynomial

f(x) = 2x^{4}+ 3x^{3 }– 5x^{2}– 9x – 3

if two of its zeroes are √3 and**–**√3.**[CBSE 2020] [4 Marks]** - Without actually calculating the zeroes, form a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial 5x
^{2}+ 2x – 3.**[CBSE 2020] [4 Marks]**

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