Finite Math Examples

$\frac{2}{x} + \frac{5}{x^{2}}$

Step 1

Factor out the GCF of $\frac{1}{x}$ from $\frac{2}{x} + \frac{5}{x^{2}}$ .

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Step 1.1

Factor out the GCF of $\frac{1}{x}$ from each term in the polynomial.

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Step 1.1.1

Factor out the GCF of $\frac{1}{x}$ from the expression $\frac{2}{x}$ .

$\frac{1 (2)}{x} + \frac{5}{x^{2}}$

Step 1.1.2

Factor out the GCF of $\frac{1}{x}$ from the expression $\frac{5}{x^{2}}$ .

$\frac{1 (2)}{x} + \frac{1 (\frac{5}{x})}{x}$

Step 1.2

Since all the terms share a common factor of $\frac{1}{x}$ , it can be factored out of each term.

$\frac{1 (2 + \frac{5}{x})}{x}$

Step 2

Since there are no common prime factors, the GCF is $1$ .

$1$