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 (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 (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

Polynomial p(x)=ax^(2) + bx + c has two zeroes -2 and 1/2 .It leaves a remainder 12 when divided by x-2 .The values of a b and c are

Polynomial p(x)=ax^(2)+bx+c has two zeroes -2 and 1/2 .It leaves a remainder 12 when divided by x-2 .The values of a b and c are

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