Algebra › Section F · Factoring › Topic F.5
Solving polynomial equations
Factoring was the hard work; now comes the reward. Set a factored polynomial equal to zero and it splits into simple equations — this is how quadratics and even cubics get solved without any formula.
In this topic
- The property that does the work
- The standard steps
- Worked example: a full quadratic solve
- Do not divide by the variable
- Higher degrees, same property
- Zeros and x-intercepts are the same numbers
- Running the film backwards
- Worked example: a rectangle from its area
- Worked example: a projectile's flight
- Common mistakes to avoid
- Key takeaways
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