Problem preview
A-APR.2 Warmup M3-002-A06-V02

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

Find a missing coefficient that makes x-a a factor

Problem

Find \(a\) so that \(x~+~1\) is a factor of \(2x^3~+~ax^2~+~3\).

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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
Find a missing coefficient that makes x-a a factor