If `2p^(3)-xp^(2)-yp-14` has (p+2) as a factor and leaves a remainder -26 when divided by p+3 .find x and y .

If (ax^(3)+bx^(2)-5x+2) has (x+2) as a factor and leaves a remainder 12 when divided by ( x-2) , find the values of a and b .

If p(x)=ax^(3)+bx^(2)+x-6 has (x-1) as a factor and leaves a remainder 6, when divided by (x+1), find values of a and b.

If ax^(3)+bx^(2)+x-6 has x+2 as a factor and leaves a remainder 4 when divided by (x-2), find the value of a and b

if (x-5) ia a factor of p(x)=x^(3)+ax^(2)+bx-20 and leave a remainder (-2) when divided by (x-3) find the value of a and b

If the polynomial ax^(3)+3x^(2)-3 leaves the remainder 6 when divided by x-4, then find the value of a.

Find the quotient and remainder when p(x) is divided by q(x)

Find the value of k if the expressions p(x)=kx^(3)+4x^(2)+3x-4 and q(x)=x^(3)-4x+k leave the same remainder when divided by x-3.