Factor the polynomial using the greatest common factor \[ x^{2}+9 x \]
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To factor the polynomial \( x^{2} + 9x \), we first identify the greatest common factor (GCF) of the terms. Both terms \( x^2 \) and \( 9x \) share an \( x \). So, we factor out \( x \): \[ x(x + 9) \] And there you have it! The polynomial is factored as \( x(x + 9) \). Easy peasy! Did you know that factoring not only helps simplify expressions but also plays a crucial role in solving polynomial equations? It's like unlocking the door to various solutions! This might be especially useful when you delve into areas like algebraic fractions or quadratic equations. Remember, practice makes perfect!