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Back to Apply the Remainder Theorem — Problem 3 · Task Set 12

Exercises: Apply the Remainder Theorem

Work through each section in order. Show your work where indicated.

Grade 9·22 problems·~35 min·Common Core Math - HS Algebra·standard·hsa-apr-b-2
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A

Fluency Practice

Synthetic division table showing the division of 2x³ − 3x² + x − 5 by (x − 2), with the remainder 1 circled in the bottom row.
1.

Use synthetic division to divide p(x)=2x3−3x2+x−5p(x) = 2x^3 - 3x^2 + x - 5 by (x−2)(x - 2).

What is the remainder?