" 23.Prove that ap "+q=0" if "f(x)=x^(3)-3px+2q" is divisible by "g(x)=x^(2)+2ax+a^(2)

Prove that p + q = 0 " if " x^(3) - 3px + 2q " is divisible by" (x + 1)^(2)

If f(x)=x^(3)-x^(2)+ax+b is divisible by x^(2)-x, then find the value of f(2)

The remainder when x^(3)+3px+q is divided by (x-a)^(2), is

Find the values of p and q so that x^(4)+px^(3)+2x^(2)-3x+q is divisible by (x^(2)-1)

If the expression (px^(3)+x^(2)-2x-q) is divisible by (x-1)and(x+1) , what are the values of p and q respectively?

If f(x)=x^(3)+px+q is divisible by x^(2)+x-2 then the remainder When f(x) is divided by x+1 is:

If the polynomial 8x^(4)+14x^(3)-2x^(2)+px+q is exactly divisible by 4x^(2)+3x-2 , then the values of p and q respectively are

If the polynomial x^(6)+px^(5) +qx^(4) -x^(2)-x-3 is divisible by (x^(4) -1) , then the value of p^(2)+q^(2) is

The polynomial (x^(3)+px^(2)-x+q) is divisible by (x^(2) - 1) and when it is divided by (x - 2), the remainder is 15. Find the values of p and q.

Find the remainder when x^(3)+3px+q is divided by (x^(2)-a^(2)) without actual division.