The correct answer would be option(A), (B), (C), and (D).
The polynomial has two terms the factoring methods that Common Factor, Difference of cubes, sum of cubes and difference of squares are should be considered.
A polynomial is defined as a mathematical expression containing one or more algebraic terms where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power (for example, a + bx + cx²).
Consider a polynomial with two terms. Consider the following methods and polynomials that can be used with these methods.
(A). Common factor. For example, if a polynomial is of form 6x³ - 4x² then it can be factored the following as
2x³ - 5x² = x²(2x - 5)
(B). Difference of cubes. For example, if a polynomial is of form
x³ - 27 then it can be factored as
(x - 3)(x² + 3x + 3²).
(C). Sum of cubes. For example, if a polynomial is of form
x³ + 27 then it can be factored as
(x + 3)(x² - 3x + 3²).
(D). Difference of squares. For example, if a polynomial is of form
x² - 9 then it can be factored as
(x + 3)(x - 3)
E and F methods require more then two terms.
Hence, the polynomial has two terms the factoring methods that Common Factor, Difference of cubes, sum of cubes and difference of squares are should be considered.
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