If the expression `a x^4+b x^3-x^2+2x+3` has remainder `4x+3` when divided by `x^2+x-2,` find the value of `aa n dbdot`

Given that the expression 2x^3+3p x^2-4x+p hs a remainder of 5 when divided by x+2 , find the value of pdot

If two polynomials 2x^(3) + ax^(2) + 4x -12 and x^(3) +x^(2) - 2x + a leave the same remainder when divided by ( x-3) , find the value of a. and also find the remainder.

If the polynomials 2x ^(3) + ax ^(2) + 3x -5 and x ^(3) + x ^(2) - 4x +a leave the same remainder when divided by x -2, find te value of a.

If the polynomials f(x) = ax^(3) + 4x^(2) +3x - 4 and g(x) = x^(3) -4x +a leave the same remainder when divided by x-3 . Find the value of a. Also find the remainder.

Given that x^2+x-6 is a factor of 2x^4+x^3-ax^2+b x+a+b-1, find the value of aa n dbdot

Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

If the polynomials f(x)=ax^(3)+4x^(2)+3x-4 and g(x)=x^(3)-4x+a leave the same remainder when divided by x-3. Find the value of a. Also find the remainder.

If ("lim")_(xvec0)(a e^x-b)/x = 2 , then find the value of aa n dbdot

Find the value of a if 2x^(3) - 6x^(2) + 5ax - 9 leaves the remainder 13 when it is divided by x -2 .