Suppose that a polynomial has two terms. Consider following methods and polynomials for which these methods can be applied.
A. Common factor. For example, if a polynomial is of form
[tex]ax^n+bx^m,[/tex] where [tex]n>m,[/tex] then you can factor it in the following way
[tex]ax^n+bx^m=x^m(ax^{n-m}+b).[/tex]
B. Difference of cubes. For example, if a polynomial is of form
[tex]x^3-a^3,[/tex] then it can be factored as
[tex](x-a)(x^2+ax+a^2).[/tex]
C. Sum of cubes. For example, if a polynomial is of form
[tex]x^3+a^3,[/tex] then it can be factored as
[tex](x+a)(x^2-ax+a^2).[/tex]
D. Difference of squares. For example, if a polynomial is of form
[tex]x^2-a^2,[/tex] then it can be factored as
[tex](x-a)(x+a).[/tex]
E and F methods require more then two terms.
Answer: A, B, C and D
