Simplify the algebraic fraction: (2x^2 + 4x) / (2x).
Answer and explanation
Correct answer: D. x + 2
- Step 1: Factor out 2x from numerator: 2x(x + 2). Step 2. Divide by denominator 2x: 2x(x + 2) / (2x) = x + 2. Answer: x + 2. Why not the others: x + 4 fails to divide 4 by 2; 2x + 2 fails to divide coefficient of x^2; x^2 + 2 divides incorrectly.
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