ADM-07 · Advanced Math

Polynomial factors, roots, and remainder

Quadratics and polynomials · Stage 3

01 · Key idea

The factor theorem says x−c is a factor when P(c)=0.

Useful ruleP(c)=0 for factor x−c

Build on: ADM-02

02 · Worked example

If P(x)=x²−4, is x−2 a factor?

This teaching example is original and is not an official SAT question.

Reasoning

P(2)=4−4=0.

Answer

Yes

03 · Next step

Practice questions remain in English, as on the SAT.

ADM-07 · Polynomial factors, roots, and remainder