Special Products

Special Products

1. Special Products are an specific result from a polynomial product.

2. Name of the resulting polynomial: Difference of squares

   • Conjugated Binomials
     • How to identify it?: One sign is different, it has 2 terms.
       • Steps to Solve: Multiply and cancel the middle terms.

3. Name of the resulting polynomial: Perfect Square Trinomial

   • Squared Binomial
     • How to identify it? : Squared terms are +, three terms, the linear term follows law of signs.
       • Steps to Solve: Calculate the square of the first terms, twice the product of the two terms, and the square of the last term.

4. Name of the resulting polynomial: Cubic Polynomial

   • How to identify it? Follows laws of signs in all terms, the maximum exponent is 3.
     • Steps to solve: The cubed of the first term plus three times the product of the square of the first term and the second term plus three times the product of the first term and the square of the second plus the cubed of the second term.
     • Cubed Binomial

5. Name of the resulting polynomial: Common Term Polynomial

   • Common Term Binomials
     • How to identify it?: Both binomials share only 1 variable, follow laws of signs, 3 terms.
       • Steps to Solve: Calculate the square of the variable plus the product between the variable and the sum between the two constants plus the product between the constants.

6. Sum of Cubes

   • How to identify it?: Only two terms.

7. Difference of Cubes

   • How to identify it?: Only two terms, one term changes sign.

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