b)

To solve , we can use polynomial long division. Start by dividing the leading term by , which gives us . Multiply by and subtract the result from the original polynomial. Repeat this process with the new polynomial until reaching a remainder that is of lesser degree than .

In the end, you will find that the results include both a quotient (which will be a polynomial) and possibly a remainder. This division captures the essence of polynomial manipulation, which is crucial in algebra and calculus for simplifying complex expressions or finding roots.

If you feel adventurous, grab a piece of paper and give it a shot! You’ll not only enhance your math skills but might even discover some neat properties about polynomials along the way. It’s like being a detective in the world of numbers!