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.
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.
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.
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.