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

Let P(x) = x^(7) - 3x^(5) +x^(3) - 7x^(2) +5 and q(x) = x- 2 . The remainder if p(x) is divided by q(x) is

Let P(x) = x^(7) - 3x^(5) +x^(3) - 7x^(2) +5 and q(x) = x- 2 . The remainder if p(x) is divided by q(x) is

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) = (x ^(3) - 8) (x +1) and Q (x) = (x ^(3) +1) (x - 2), then find the LCM of P (x) and Q (x).

If (x-3) is the HCF of x^(3) - 2x^(2) +px + 6 and x^(2) - 5x +q, find 6p +5q

If P (x) = (x^(3) + 1) (x-1) and Q (x) = (x^(2) -x +1) (x^(2) -3x +2) , then find HCF of P (x) and Q (x) .