Back to Rewrite rational expressions — Problem 3 · 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

For integer long division, $17 \div 5$ gives quotient 3 and remainder 2, so $17 = 5 \cdot 3 + 2$ . Which equation shows the analogous verification check for polynomial long division when dividing $a(x)$ by $b(x)$ ?

$a(x) = b(x) \cdot q(x) + r(x)$

$a(x) = b(x) + q(x) \cdot r(x)$

$q(x) = a(x) \cdot b(x) - r(x)$

$r(x) = a(x) - b(x) - q(x)$