Problem preview
A-APR.2 Warmup M3-002-A09-V01

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

Use values of p(a) to identify linear factors x-a

Problem

Use the value table to identify the possible linear factors of \(p(x)\).

Big Picture

What this problem is really about

The table matters only at rows where the output p of x is zero. We’ll collect every such input, call each one a, and convert it to the factor x minus a, being especially careful when a is negative. Rows with nonzero output do not establish linear factors.

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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 values of p(a) to identify linear factors x-a