When `x^3 + 5x^2 + ax - 7` is divided by `x - 3` , the remainder is 47 . Find a .

When ax^2 + 7x + 12 is divided by x - 3 , the remainder is 51 . Find a .

Choose the correct alternative : If x^3 - 3x^2 + 3x - 3 is divided by x - 1 , then the remainder is …………

Choose the correct altenative answer of each of the following question: When (x^3 +ax^2 +3x+2) is divide by (x+1), the remainder is zero. What is the value of a?

If (x^31 +31) is divided by (x+1) , then find the remainder.

If (x^31+31) is divided by (x+1) , then find the remainder.

Polynomials bx^2 +2x+3 and bx^3 -3x+4 are divided by the polynomial (x-3) and the remainders are m and n respectively. If m+n =-8 , find the value of b.