Find `p (0) p, (1) and p (2)` for each of the following polynomials.
(i) `p (x) = x ^(2) - x +1`
(ii)` p (z) =z ^(3)`
(iii) `p (y)=2 + y +2y ^(2) - y ^(3)`
(iv) ` p (t) = (t-1) (t +1)`
(v) `p (x) = x ^(2) - 3x +2`

P(x) = x^(2) + 2x + 1 "then" P(x^(2))=

Verify whether the values of x given in each case are the zeroes of the polynomial or not ? (i) p (x) = 2 x + 1,x =- 1/2 (ii) p (x) = 5x -pi , x = (-3)/(2) (iii) p (x) = x ^(2) -1 , x = pm 1 (iv) p (x) = (x-1) (x +2) , x =-1,-2 (v) p (y) = y ^(2) , y =0 (vi ) p (x) = ax + b, x =- (b)/(a) (vii) f (x) = 3x ^(2) -1 , x =- (1)/(sqrt3) , (2)/(sqrt3) (viii) f (x) =2x -1 , x = (1)/(2), (-1)/(2)

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1

p(t) = t^(3) - 1 , p(-2) = ………….

If p(x) = 3x^2-x-4 , then p(-1)=

Find the following using appropriate identities (i) (x +5) (x+5) (ii) (p -3) (p +3) (iii) (y-1) (y-1) (iv) (t +2) (t+4) (v) 102 xx 98

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and reminder in each of the following. (i) p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2

Zeros of the polynomial x^(2) - 4x + 3 and 1 and p the p = ………………

Verify whether the values of x given in each case are the zeroes of the polynomial or not ? ….. (i) p(x)=2x+1,x=-(1)/(2) (ii) p(x)=5x-pi,x=(-3)/(2) (iii) p(x)=x^(2)-1,x =+-1 (iv) p(x)=(x-1)(x+2),x=-1,-2 (v) p(y)=y^(2),y=0 (vi) p(x)=ax+b,x=-(b)/(a)

(1 + x)^(n) = p_(0) + p_(1) x + p_(2) x^(2) + … + p_(n) x^(n) , then p_(0) + p_(3) + p_(6) + ….. =