Back to Rewrite rational expressions — Problem 2 · Task Set 20

Exercises: Rewrite Rational Expressions (Polynomial Long Division)

Work through each section in order. For division problems, show all steps and write your answer in the form q(x) + r(x)/b(x). Verify your work where indicated.

Grade 10·20 problems·~40 min·Common Core Math - HS Algebra·standard·hsa-apr-d-6

Work through problems with immediate feedback

Recall / Warm-Up

After performing polynomial long division of $a(x) \div b(x)$ , a student writes only the quotient polynomial $q(x)$ as the answer. What is missing from the answer when the remainder is not zero?

The term $+\dfrac{r(x)}{b(x)}$ , which accounts for the non-zero remainder

The term $+r(x)$ , written as a standalone polynomial

The factor $\times b(x)$ , to undo the division

Nothing — $q(x)$ alone is the complete answer