" 6."|[1,1,x],[p+3,p+1,p+x],[3,x+1,x+1]|=0

Solve the following: |[1, 1,x], [p+1,p+1,p+x],[3,x+1,x+2]|=0

1,1,xp+3,p+1,p+x3,x+1,x+1]|=0

If p ne 0 , then the solutions of the equation |(1,1,x),(p+1,p+1,p+x),(3, x+1,x+2)|=0 are -

1.Solve for x: abs ((1,1,x),(p+1,p+1,p+x),(3,x+1,x+2)) =0

Let P(x) be a function defined on R such that P(x) = P'(1--x), AA x in [0, 1], P(0)=1, P(1) =41 then int_(0)^(1)P(x)dx=

Let p(x) be a function defined on R such that p'(x) = p' (1 - x) , for all x in [0,1], p(0) = 1 and p (1) = 41. Then int_0^1 p(x) dx equals :

Verify whether the following are zeroes of the polynomial, indicated against them . (i) p(x)=3x+1, x=-1/3 (ii) p(x) = 5x-pi,x=4/5 (iii) p(x) = x^2-1,x=1,-1 (iv) p(x) = (x+1) (x-2) , x = -1,2 (v) p(x) =x^2,x=0 (vi) p(x) =lx+m,x=-m/l (vii) p(x)=3x^2-1,x=-1/sqrt3,2/sqrt3 (viii) p(x) = 2x+1,x=1/2

Let P(x) be a polynomial of degree 11 such that P(x) = (1)/(x + 1) for x = 0, 1, 2, 3,"…."11 . The value of P(12) is.

Let P(x) be a polynomial of degree 11 such that P(x) = (1)/(x + 1) for x = 0, 1, 2, 3,"…."11 . The value of P(12) is.