**Date of submission: 23 June 2014**

**Holiday homework for class X-A , X-B , X-C & X-D**

1. Find the zeroes of the following polynomial and verify the relationship between the zeroes and the coefficients of the polynomial.

( i ) 2 x ² – 9

( ii ) 4√3 x ² + 5x -2√3

2. Find the HCF by division algorithm .

( i ) 870 , 225

( ii ) 336 , 54

( iii ) 4284 , 6762

3. Prove that the following are irrational numbers.

( i ) 2√3

( ii ) 5 – √3

4. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

( i ) 7 , 10

( ii ) 1/6 , -1/3

( iii ) √5 , 1/2

^{4}

5. Find all the zeroes of the polynomial : – x +x³-9x² -3x +18 if two of its zeroes are -√3 and√3.

6. On dividing 6x³+ 8x² -3x +8 by a polynomial g (x) , the quotient and remainder were 3x +4 and 6x +20 respectively. Find g(x).

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