Question

Use synthetic division to find the result when 3x3 + 3x² – 10x – 20 is divided byr(x)X – 2. If there is a remainder, express the result in the form q(x) +6(0)

Answer 1

Given:

An expression:

`3x^3+3x^2-10x-20`

To find:

Use synthetic division to find the result when the expression is divided by x - 2.

Solution:

The synthetic division step by step is shown below:

So, from the above division, we get the quotient 3x^2 + 9x + 8 and the remainder is -4.

Thus, the answer is:

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