Let `P(x) = 4x^(2) - 3x + 2x^(3) + 5` and `q(x) = x^(2) + 2x + 4 ` find `p ( x) - q(x)`.

If p(x)=x^2-3x+2x^3+5 and q(x)=x^2+2x+4, the find p(x)+q(x).

If p(x) = 5x^(3) - 3x^(2) + 7x -9 , find (i) p(-1) (ii) p(2)

If the quotient obtained on dividing ( 8 x^(4) - 2x^(2) + 6x-7) by ( 2x + 1 ) is ( 4x^(3) + px^(2) - qx + 3 ) , then find p,q and also the remainder.

The sum of the polynomials p(x) = x^(3) - x^(2) - 2, q(x) = x^(2) - 3x + 1

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 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

The G.C.D of x^(4) + 3x^(3) + 5x^(2) + 26x + 56 and x^(4) + 2x^(3) - 4x^(2) - x + 28 is x^(2) + 5x + 7 Find their L.C.M.