인수분해

$\begin{array}{ccccccc}\text{Is there a GCF?} & & & \text{Yes,}\,4{x}^{4}. & & & 4{x}^{5}+12{x}^{4} \\ & & & \text{Factor out the GCF.} & & & 4{x}^{4}(x+3) \\ \text{In the parentheses, is it a binomial, a} & & & & & & \\ \text{trinomial, or are there more than three terms?} & & & \text{Binomial.} & & & \\ \quad \text{Is it a sum?} & & & & & & \text{Yes.} \\ \quad \text{Of squares? Of cubes?} & & & & & & \text{No.} \\ \text{Check.} & & & & & & \\ \\ \quad \text{Is the expression factored completely?} & & & & & & \text{Yes.} \\ \quad \text{Multiply.} & & & & & & \\ \\ \\ \quad 4{x}^{4}(x+3) & & & & & & \\ \quad 4{x}^{4}\cdot x+4{x}^{4}\cdot 3 & & & & & & \\ \quad 4{x}^{5}+12{x}^{4}\,\checkmark & & & & & & \end{array}$