if a polynomial has three terms, $x^{2}+12x + 36$, which factoring method can be considered?\nperfect…

if a polynomial has three terms, $x^{2}+12x + 36$, which factoring method can be considered?\nperfect - square trinomial\ndifference of squares\nsum of cubes\ndifference of cubes

if a polynomial has three terms, $x^{2}+12x + 36$, which factoring method can be considered?\nperfect - square trinomial\ndifference of squares\nsum of cubes\ndifference of cubes

Answer

Answer:

A. perfect - square trinomial

Brief Explanation:

A perfect - square trinomial has form $a^{2}+2ab + b^{2}=(a + b)^{2}$. For $x^{2}+12x + 36$, $a = x$, $b = 6$ since $2ab=2\times x\times6 = 12x$, $a^{2}=x^{2}$, $b^{2}=36$. Other methods don't apply as it's not a difference of squares ($a^{2}-b^{2}$), sum of cubes ($a^{3}+b^{3}$) or difference of cubes ($a^{3}-b^{3}$).