If `p(x)=x^(2)-5x-6`, then find the values of `p(1),p(2),p(3),p(0),p(-1),p(-2),p(-3)`.

If p(m)=m^(2)-3m+1 , then find the value of p(1) and p(-1) .

If p(t)=t^(3)-1 , find the values of p(1),p(-1),p(0),p(2),p(-2) .

Let p(x)=x^(2)-4x+3 . Find the value of p(0),p(1),p(2),p(3) and obtain zeroes of the polynomial p(x) .

Let X be a random variable taking values x_(1), x_(2), x_(3), ......., x_(n) with probabilities p_(1), p_(2),p_(3),………, p_(n) respectively. Then var (X) = ………..

For each of the following polynomials, find p(0), p(1) and p(3) : p(x) = (1)/(3)x^(2) + 4x -1

If x^(p) occurs in the expansion of (x^(2)+1/x)^(2n) then prove that its coefficient is (2n!)/((((4n-p)!)/(3!))(((2n+p)!)/(3!)))

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,k-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)

For each of the following polynomials, find p(0), p(1) and p(3) : p(x) = t^(3) + 2t^(2) + t - 4

Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and lim_(x->0)(1+(p(x))/x^2)=2. Then find the value of p(2).

Find the values of p so that the lines (1-x)/(3)=(7y-14)/(2p)=(z-3)/(2) and (7-7x)/(3p)=(y-5)/(1)=(6-z)/(5) are at right angles.