Q. 1. Factorize the following :
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 :-
Q. 4. Verify that x3 + y3 + z3 – 3xyz = (x+y+z)[(x-y)2 + (y-z)2 + (z-x)2]
Q. 5. Factorize :
(i) x3 + 13x2 + 32x + 20 (ii) 2y3 + y2 – 2y – 1
(iii)
Q. 6. (a) Evaluate : (998)3
Q. 7. If x+ y + z = 0, then show that x3 + y3 + z3 = 3xyz.
Q. 8. Factorize the following using factor theorem :
Q. 9. (a) Find the value of k, if x -1 is a factor of p(x) where p(x) = 2x2 + kx +
Q. 10. (a). Find p(0), p(1) & p(2) for the following polynomial :
(b). Find the coefficient of x2 in the following polynomial as well as its degree