Mathematics · Polynomial Functions · Topic 9 · 9 of 18
Polynomial Equations and Problems
Solve polynomial equations and translate contextual problems.
Standard formMove every term to one side so the equation equals zero.
Zero-product principleSet each factor equal to zero.
Check contextReject roots that violate physical or stated restrictions.
Worked example
x³−4x=0 → x(x−2)(x+2)=0
The solutions are x=−2, 0, and 2. In an application, interpret which values are meaningful.