5. Solving Polynomial Equations
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Is there a greatest common factor? What other factoring technique could you use according to the number of terms?
Prime
2x^3+5y^3 First, notice that there is no greatest common factor. There are three additional common factoring techniques for binomials.
There are different factoring techniques to apply according to the number of terms the polynomial has.
| Number of Terms | Factoring Technique |
|---|---|
| Any number | Greatest Common Factor (GCF) |
| Two | Difference of Two Squares, Sum of Two Cubes, or Difference of Two Cubes |
| Three | Perfect Square Trinomials, or General Trinomials |
| Four or More | Grouping |