Find the product. Simplify your answer, \( -9\left(4 x^{2}+x\right) \)
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To find the product, we distribute \( -9 \) to each term inside the parentheses: \(-9 \cdot 4x^{2} = -36x^{2}\) and \(-9 \cdot x = -9x\). So, the simplified answer is: \(-36x^{2} - 9x\). This expression represents a quadratic equation, typically graphed as a parabola. In a fun twist, you can think of each coefficient as a character in a story: \(-36\) is the tough villain (the leading coefficient), while \(-9\) is the sidekick (the linear coefficient), both on a quest to conquer the x-axis!