Identify GCF in denominator: Identify the greatest common factor (GCF) in the denominator. The GCF of x^4 and 2x^3 is x^3.Factor out GCF: Factor out the GCF from the denominator. The factored form of the denominator is x^3(x + 2).Rewrite with factored denominator: Rewrite the expression with the factored denominator. The expression becomes 2x/(x^3(x + 2)).Check for common factor: Check if there is any common factor in the numerator and the denominator that can be canceled out. There is a common factor of x in the numerator and the denominator.Cancel common factor: Cancel the common factor of x from the numerator and the denominator. The simplified expression is 2/(x^2(x + 2)).

Algebra 1

Factor polynomials

Full solution

\frac{2x}{x^4+2x^3}

Identify GCF in denominator: Identify the greatest common factor (GCF) in the denominator. The GCF of $x^4$ and $2x^3$ is $x^3$ .
Factor out GCF: Factor out the GCF from the denominator. $\newline$ The factored form of the denominator is $x^3(x + 2)$ .
Rewrite with factored denominator: Rewrite the expression with the factored denominator. $\newline$ The expression becomes $\frac{2x}{x^3(x + 2)}$ .
Check for common factor: Check if there is any common factor in the numerator and the denominator that can be canceled out. $\newline$ There is a common factor of $x$ in the numerator and the denominator.
Cancel common factor: Cancel the common factor of $x$ from the numerator and the denominator. $\newline$ The simplified expression is $\frac{2}{x^2(x + 2)}$ .