Here’s an advanced version of dividing polynomials.
We looked at the dividing polynomials last time. And this time, it’s multivariable and is a bit tricky to solve. But once you get the hack of it, you can solve it without scratching your head. Let’s dive into it!!
So, the last time, we looked at dividing polynomials, and this time, we’ll take a look at a little bit advanced version of it – dividing multivariable polynomials.
1st example:
In the first example, we have x³ + 2x²y – y³ / x + y. In image 01, I tried to solve the problem but eventually got stuck when trying to cancel xy².
So, in image 02, I moved -y² to the right and inserted 0xy² in between, which enables me to cancel xy².
Finally, take a look at image 03. I successfully solved the problem! Now you know why dividing multivariable polynomials is a bit tricky when compared to the previous one.
2nd example:
Here’s the 2nd example. Since you’ve probably got the hack of dividing multivariable polynomials, I skip the detailed explanation here to get to the solution straight. Here, we have x³ – y³ / x – y. Just like the previous one, we’ve moved the – y³ to the right and inserted 0x²y and 0xy² in between and make it solvable.
So, how was it? Now it’s your turn. Try solving some of those problems by yourself and enjoy the algebraic journey!!