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A-APR.2 Warmup M3-002-A13-V04

Apply the Remainder Theorem to connect p(a), remainders, and factors x-a.

Use the Remainder Theorem to test possible rational roots

Problem

Use the Remainder Theorem to identify the roots of \(p(x)~=~x^3~-~2x~+~2\) among \(1,~-2,~\text{and}~3/2\).

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
A-APR.2
Category
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Objective
Apply the Remainder Theorem to connect p(a), remainders, and factors x-a.
Problem type
Use the Remainder Theorem to test possible rational roots