Algebra Examples

$P (x) = x^{4} + 81 x^{2}$

Step 1

Factor $x^{2}$ out of $x^{4}$ .

$P (x) = x^{2} x^{2} + 81 x^{2}$

Step 2

Factor $x^{2}$ out of $81 x^{2}$ .

$P (x) = x^{2} x^{2} + x^{2} \cdot 81$

Step 3

Factor $x^{2}$ out of $x^{2} x^{2} + x^{2} \cdot 81$ .

$P (x) = x^{2} (x^{2} + 81)$