Factor completely. \( 15 x^{3}+5 x^{2} \)

To factor the expression \( 15x^{3} + 5x^{2} \), we start by identifying the greatest common factor (GCF) of the two terms. The GCF here is \( 5x^{2} \). Now we can factor it out: \[ 15x^{3} + 5x^{2} = 5x^{2}(3x + 1) \] So the completely factored form is \( 5x^{2}(3x + 1) \). One quick tip: always look for the GCF first before attempting to factor larger polynomials. It makes the process smoother and helps in reducing any complicated calculations! Another common mistake is forgetting to factor everything out completely. Double-check your final answer to ensure it's fully simplified and includes all factors, as it leads to easier problem-solving in future equations. Happy factoring!