Question

The polynomials ( ax^3 - 7x^2 + 14x - 4 ) and ( x^3 - 3x^2 - ax + 7 ) when divided by x-1 leave the same remainder. Find the value of a​

Answer 1

Let us denote the given polynomials as

We have to find the remainder whenis divided by.

By the remainder theorem, whenis divided bythe remainder is

Now we will show remainder by actual division

So the remainder by actual division is −7