The reason you ask yourself "What times x 2 will give me exactly x 3? You've Got Problems Problem 6: Intro to long division of polynomials. The degree of the remainder is 1, which is less than the degree of the divisor, 2.

## Divide Two Polynomials

Another way we could have written the same exact expression is x squared minus 3x plus 2, all of that over x minus 2. Steps 8, 9, and 10: And now let's add. In this case, the problem is ready as is. Steps 2, 3, and 4: This gives the first term of the quotient.

## Polynomials - Long Division

There are two techniques you can use to calculate the quotient of two polynomials, one which may feel a bit familiar will work for all polynomial division problems but takes a while, whereas the other will work much faster, but only works in specific circumstances. Dividing polynomials by polynomials of more than one term can be done using a process very much like long division of whole numbers.

Even though synthetic division can only be applied in a specific situation given a linear divisor of the form x - c , it will be extremely useful later on.

The remainder is not just added to the quotient.

## Algebraic Division

Two 37s is 74; write that product below the 90. Step 1: Subtract the product from the dividend then bring down the next term.

Next tutorial. In this case, we should get:. So, from our previous examples we now know the following function evaluations. That is negative x.