Question

Use synthetic division to find the quotient and remainder when2x^3+ 9x^2- 8x+ 4 is divided by x - 2

Answer 1

Given;

`(2x^3+9x^2-8x+4)/(x-2)`

Using Synthetic division;

Thus, the solution is;

`(2x^(3)+9x^(2)-8x+4)/(x-2)=2x^2+13x+18+(40)/(x-2)`

The quotient is;

`2x^2+13x+18`

The remainder is;

`18`