" (ii) "p(x)=x^(2)+5x+6

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 p(3) if p(x) = x^(2) - 5x +6 is given.

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and reminder in each of the following. (iii) p(x) = x^(4) - 5x +6 , g(x) = 2 - x^(2) .

If p(x) = x^(2) - 5x -6 , find the value of p(3).

Draw the graph for the polynomial p(x) = x^(2) - 5x +6 and find the zeroes from the graph.

If alpha and beta are zeroes of the polynomial p(x) = x^(2) - 5x +6 , then the value of alpha + beta - 3 alpha beta is

If alpha and beta are zeroes of polynomial p(x) = x^(2) - 5x +6 , then find the value of alpha + beta - 3 alpha beta

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.

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