`p(x) = 3x^4 - 6x^2 - 8x - 2, p(2)`​

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x^3 - 3x^2 + 5x - 3, g(x) = x^2 - 2 (ii) p(x) = x^4 - 3x^2 + 4x - 5, g(x) = x^2 + 1 - x (iii) p(x) = x^4 - 5x + 6, g(x) = 2 - x^2

The HCF of p(x) = 24 (6x^4 - x^3 - 2x^2) and q(x) = 20 (2x^6 + 3x^5 + x^4) is

The HCF of p(x) = 26(6x^(4) - x^(3) - 2x^(2)) and q(x) = 20 (2x^(6) + 3x^(5) + x^(4)) is

Using the remainder theorem , find the remainder , when p (x) is divided by g (x) , where p(x)=3x^(4)-6x^(2)+8x-2,g(x)=x-2 .

If P = 8x^(4) + 6x^(3) - 15 x^(2) + 27 x - 20 and Q = 2x^(2) + 3x - 4 , then find the remainder when P is divided by Q .

Check whether g(x) is a factor of p(x) by dividing the first polynomial by the second polynomial: (i) p(x) = 4x^(3) + 8x + 8x^(2) +7, g(x) =2x^(2) -x+1 , (ii) p(x) =x^(4) - 5x -2, g(x) =2-x^(2) , (iii) p(x) = 13x^(3) -19x^(2) + 12x +14, g(x) =2-2x +x^(2)