1.Check whether 6^{n }can end with the digit 0 for any natural number n.

2. Prove that √2 is irrational.

3.Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 where ’q’ is some integer.

4. A quadratic polynomial where roots are -3 and 4 is______________.

5. If the zeroes of the quadratic polynomial x^{2}+ (a+1)x+ b are 2 and -3, then

(a) a=-7 , b=-1

(b)a=5 , b=-1

(c)a=2 , b=-6

(d)a=0 , b=-6

6.What must be added to p(x)=4x^{2} + 2x^{3} -2x^{2}+x -1 so that the resulting polynomial is divisible by g(x)= x^{2} +2x-3?

7.The zeroes of √3x^{2}+10x+7√3 are

(a)7,3

(b)√3,7√3

(c)-√3,-7/√3

(d) none of these

8. Find the zeroes of the polynomial 2x^{2}-9 and verify the relationship between its zeroes and the coefficient of the polynomial.

9. Find all the zeroes of the polynomial x^{3}-6x^{2}+11x-6, if two of its zeroes are 1 and 2.

10. Find the other zeroes of the polynomial x^{4}-5x^{3}+2x^{2}+10x -8 if it is given that two of its zeroes are -√2 and √2.