CBSE TEST PAPER O1

10th Polynomial

1. Write the zeroes of the polynomial x

^{2}-2x + 4.2. Find a quadratic polynomial, the sum and product of whose zeroes are 0 and √5 respectively.

3. Find the quadratic polynomial, the sum and product of whose zeroes are 4 and 1, respectively

4. If a andb are the zeros of the quadratic polynomial f(x)= x

^{2}-5x+4, find the value of 1/a + 1/b-2a b5. Find the zeroes of the quadratic polynomial 4 √3 x

^{2}+ 5 x - 2 √3 and verify the relationship between the zeroes and the coefficients.6. Find the zeroes of the quadratic polynomial 4u

^{2 }+ 8u and verify the relationship between the zeroes and the coefficients7. Find the quadratic polynomial, the sum and product of whose zeroes are √2 and √3 respectively.

8. If a and b are the zeros of the given quadratic polynomial f(x)= 5x

^{2 }- 7x + 1, find the value 1/a + 1/b9. Find the zeroes of the polynomial x

^{2}– 3 and verify the relationship between the zeroes and theCoefficients10. Find the remainder when p(x)= x

^{3}-6x^{2}+2x-4 when divided by 1 - 2x.11. Find the remainder when x

^{51}+51 is divided by (x+1).12. Find all the integral zeros of x

^{3}-3x^{2}- 2x + 613. Obtain all zeros of 3x

^{4 }+ 6x^{3}- 2x^{2}- 10x - 5, if two of its zeros are √5/√3 and - √5/√314. If (x - 2) and [x – ½ ] are the factors of the polynomials qx

^{2 }+ 5x + r prove that q = r15. If the zeroes of the polynomial are 3x

^{2}− 5x + 2 are a+ b and a- b, find a and b.16. On dividing 2x2 + 3x + 1 by a polynomial g(x), the quotient and the remainder were 2x-1 and 3 respectively. Find g (x).

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