Math  /  Algebra

QuestionConsider the expression 2x3+5x2+5x3x3+1\frac{2 x^{3}+5 x^{2}+5 x}{3 x^{3}+1}.
Part: 0/30 / 3
Part 1 of 3 (a) Divide the numerator and denominator by the greatest power of xx that appears in the denominator. That is, divide each term in the numerator and denominator by x3x^{3}. Write your answers with positive exponents only. 2x3+5x2+5x3x3+1=+++\frac{2 x^{3}+5 x^{2}+5 x}{3 x^{3}+1}=\frac{\square+\square+\square}{\square+\square}

Studdy Solution
Putting it all together, we get: 2x3+5x2+5x3x3+1=2+5x+5x23+1x3 \frac{2x^3 + 5x^2 + 5x}{3x^3 + 1} = \frac{2 + \frac{5}{x} + \frac{5}{x^2}}{3 + \frac{1}{x^3}} So, the boxes are filled with 22, 5x\frac{5}{x}, 5x2\frac{5}{x^2}, 33, and 1x3\frac{1}{x^3}.

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