**Q. 1.** Factorize the following :

- 49a
^{2}+ 70ab + 25b^{2}

**Q. 2.** (a) Find the zeroes of the polynomial p(x) = 2x + 1

(b) Check whether -2 & 2 are the zeroes of polynomial x + 2 or not .

**Q. 3.** Expand the following :-

- (-2x + 5y – 32)
^{2}

**Q. 4.** Verify that x^{3} + y^{3} + z^{3} – 3xyz = (x+y+z)[(x-y)^{2} + (y-z)^{2} + (z-x)^{2}]

**Q. 5.** Factorize :

(i) x^{3} + 13x^{2} + 32x + 20 (ii) 2y^{3} + y^{2} – 2y – 1

(iii)

**Q. 6. **(a) Evaluate : (998)^{3}

- Without calculating the cube, find the value of (28)
^{3}+ (-15)^{3}+ (-13)^{3}

**Q. 7.** If x+ y + z = 0, then show that x^{3} + y^{3} + z^{3} = 3xyz.

**Q. 8.** Factorize the following using factor theorem :

- y
^{2}– 5y + 6 - x
^{3}– 23x^{2}+ 142 x – 120

**Q. 9.** (a) Find the value of k, if x -1 is a factor of p(x) where p(x) = 2x^{2} + kx +

- Find the remainder when x
^{3}– 9x^{2}+ 6x –a is divided by x – a .

**Q. 10.** (a). Find p(0), p(1) & p(2) for the following polynomial :

- p(t) = 2 + t + 2t
^{2}– t3

(b). Find the coefficient of x2 in the following polynomial as well as its degree

- 6x – 7x
^{3}+ 8x^{4}+ 3x^{2} - 2 – x
^{2}– y^{3}+ 2y^{8}