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
\(ax^n+bx^m,\) where \(n>m,\) then you can factor it in the following way
\(ax^n+bx^m=x^m(ax^{n-m}+b).\)
B. Difference of cubes. For example, if a polynomial is of form
\(x^3-a^3,\) then it can be factored as
\((x-a)(x^2+ax+a^2).\)
C. Sum of cubes. For example, if a polynomial is of form
\(x^3+a^3,\) then it can be factored as
\((x+a)(x^2-ax+a^2).\)
D. Difference of squares. For example, if a polynomial is of form
\(x^2-a^2,\) then it can be factored as
\((x-a)(x+a).\)
E and F methods require more then two terms.
Answer: A, B, C and D
