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F-IF.7.c Warmup M3-025-A10-V04

Graph polynomial functions using zeros, factorizations, and end behavior.

Use a known zero to completely factor and verify a polynomial

Problem

Given that \(2\) is a zero of \(f(x)~=~x^3~-~3x~-~2\), factor \(f\) completely and list all real and nonreal zeros with multiplicity.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-IF.7.c
Category
Functions
Domain
Interpreting Functions
Objective
Graph polynomial functions using zeros, factorizations, and end behavior.
Problem type
Use a known zero to completely factor and verify a polynomial