In the past few hours, you have progressed through adding, subtracting, and multiplying polynomial expressions, seeing how the work you did in the first hours of learning algebra helped you solve rather complicated polynomial problems. As you learn how to divide polynomials this hour, remember that division is closely related to multiplication. Because you have already mastered multiplying, dividing polynomials will come even more easily.
When monomials are divided, as in “12b
divided by 3b,
” the problem can be written in two different ways:
With the division symbol, such as 12b ÷ 3b
In fraction form, such as.
To simplify 12b ÷ 3b, the fraction form is usually easier to work with because ...