a polynomial has two terms. check all of the factoring methods that should be considered. common factor…

a polynomial has two terms. check all of the factoring methods that should be considered. common factor difference of cubes sum of cubes difference of squares perfect - square trinomial factoring by grouping done

a polynomial has two terms. check all of the factoring methods that should be considered. common factor difference of cubes sum of cubes difference of squares perfect - square trinomial factoring by grouping done

Answer

Answer:

  • common factor
  • difference of cubes
  • sum of cubes
  • difference of squares

Explanation:

Step1: Analyze common factor

Always check for common factors first.

Step2: Consider binomial forms

If the binomial is in the form $a^{3}-b^{3}$, use difference - of - cubes.

Step3: Consider binomial forms

If the binomial is in the form $a^{3}+b^{3}$, use sum - of - cubes.

Step4: Consider binomial forms

If the binomial is in the form $a^{2}-b^{2}$, use difference - of - squares.

Step5: Reject other methods

Perfect - square trinomial requires three terms. Factoring by grouping is for polynomials with more than two terms.