Back to Rewrite rational expressions — Problem 1 · 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
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Fluency Practice

1.

Divide (x2+5x+7)÷(x+2)(x^2 + 5x + 7) \div (x + 2).

Write the answer in the form q(x)+r(x)x+2q(x) + \dfrac{r(x)}{x+2}. Then verify: multiply (x+2)q(x)(x + 2) \cdot q(x) and add the remainder — confirm the result equals x2+5x+7x^2 + 5x + 7.