Divide \( 4.8 x^{3}+3.6 x \) by \( 1.2 x \) A. \( 7.2 x^{3} \) B. \( 4 x^{2}+3 x \) C. \( 4 x^{2}+3 \) D. \( 3.6 x^{2}+2.4 x \)
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To divide \( 4.8 x^{3}+3.6 x \) by \( 1.2 x \), we start by dividing each term of the polynomial by \( 1.2 x \): 1. For the first term: \[ \frac{4.8 x^{3}}{1.2 x} = \frac{4.8}{1.2} x^{3-1} = 4 x^{2} \] 2. For the second term: \[ \frac{3.6 x}{1.2 x} = \frac{3.6}{1.2} x^{1-1} = 3 \] Putting it all together, we have: \[ 4 x^{2} + 3 \] Thus, the answer is **C. \( 4 x^{2}+3 \)**. Feel free to reach out if you want to explore more about polynomial division or any math-related challenges!