" (ii) "p(x)=x^(4)-5x+6,q(x)=2-x^(2)

Divide p(x) by g(x) and find the quotient and remainder : p(x)=x^(4)-5x+6, g(x)=2-x^(2)

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

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) - 5 x + 6 g(x) = 2 - x^(2)

In each of the following cases (Q.9-12), find whether g(x) is a factor of p(x) : p(x)=x^(2)-5x+6, " " g(x)-x-2

In each of the following cases (Q.9-12), find whether g(x) is a factor of p(x) : p(x)=x^(2)-5x+6, " " g(x)=x-2

Find the quotient and remainder in each of the following and verify the division algorithm : (i) p(x) =x^(3)-4x^(2)+2x-1 is divided by g(x)=x+2. (ii) p(x) =x^(4)+2x^(2)-x+1 is divided by g(x) =x^(2)+1 . (iii) p(x) =2x^(4)-3x^(3)+x^(2)+5x-3 is divided by g(x) =x^(2)+x-1 . (iv) p(x) =x^(4)-5x^(2)+6 is divided by g(x)=x+2.

If f(x)=x^(2)+5x+p and g(x)=x^(2)+3x+q have a common factor, then (p-q)^(2)=

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

The product of uncommon real roots of the p polynomials p(x)=x^(4)+2x^(3)-8x^(2)-6x+15 and q(x)=x^(3)+4x^(2)-x-10 is :