Ruffini's rule

Okay, kiddo, let me explain Ruffini's Rule to you in a simple way.

Ruffini's Rule helps us to divide one polynomial by another polynomial. A polynomial is just a bunch of numbers and variables (like x) combined with mathematical operations like addition, subtraction, multiplication, and division.

Now, let's say we have two polynomials, let's call them Dividend and Divisor. We want to divide the Dividend by Divisor to get a Quotient and a Remainder.

Ruffini's Rule tells us to start by writing down the Divisor in a particular way. We write down the coefficients of the Divisor in a row with a gap in between each coefficient. Then, we write the constant term of the Divisor on the left side of the row.

Next, we look at the first term of the Dividend and write it on the left side of a vertical line. Then, we bring down the constant term of the Dividend and write it under the vertical line.

Now, here's the trick. We multiply the constant term of the Divisor by the term we just wrote on the left side of the vertical line. We write the result under the next term of the Dividend.

We keep doing this for each term of the Dividend until we have written down all the terms of the Quotient. The last term we write down is the Remainder.

Phew, that was a lot to take in. But with the help of Ruffini's Rule, we can easily divide polynomials and find the Quotient and Remainder.