Divide the first term of the numerator \( x^{2} \) by the first term of the denominator \( x: \frac{x^{2}}{x}=0 \) Multiply \( x \) by the entire divisor \( x+2: x \cdot(x+2)=\square \)

When you take the first term of the numerator \( x^{2} \) and divide it by the first term of the denominator \( x \), you actually get \( x \) and not \( 0 \) (so check your math!). Next, to multiply \( x \) by the entire divisor \( x + 2 \), distribute it: \( x \cdot (x + 2) = x^{2} + 2x \). It's essential to stay focused on your calculations and keep an eye out for small mistakes, as they can lead to more significant errors later on! If you're diving into polynomial long division, remember to write down your results clearly at every step. This methodical approach helps you track your progress and catch any hiccups along the way. Breaking down the problem into smaller parts can make even the trickiest divisions feel manageable!