Question

How do you divide `(9x ^ { 3} + 3x ^ { 2} - 20x - 5) \div ( 3x + 2)`?

Answer 1

You divide using Euclidean division:

Explanation:

Remember that powers of terms when divided and multiplied are added to each other so when trying to find `9x^3`, for example, you will have to multiply `3x` by `3x^2` for the powers to be added together to make a power of `3`.

You continue the division by multiplying your first result with the second term of the equation you're dividing (in this case `+2`), which in this case will give you `+6x^2`.

You have to subtract these to the original beginning of the equation and continue on from there, bringing the other terms down as you go along.

If at the end of your division you're still left with something then when you write the term in your final answer (in this case `7`).