QuestionAugust 26, 2025

3. (2x^2+7x-4)/(2x^2)-11x+5

3. (2x^2+7x-4)/(2x^2)-11x+5
3. (2x^2+7x-4)/(2x^2)-11x+5

Solution
4.5(284 votes)

Answer

\frac{x + 4}{x - 5} Explanation 1. Identify the expression The given expression is a rational function \frac{2x^{2}+7x-4}{2x^{2}-11x+5}. 2. Factor the numerator Factor 2x^2 + 7x - 4. It factors into (2x - 1)(x + 4). 3. Factor the denominator Factor 2x^2 - 11x + 5. It factors into (2x - 1)(x - 5). 4. Simplify the expression Cancel the common factor (2x - 1) from the numerator and the denominator.

Explanation

1. Identify the expression<br /> The given expression is a rational function $\frac{2x^{2}+7x-4}{2x^{2}-11x+5}$.<br /><br />2. Factor the numerator<br /> Factor $2x^2 + 7x - 4$. It factors into $(2x - 1)(x + 4)$.<br /><br />3. Factor the denominator<br /> Factor $2x^2 - 11x + 5$. It factors into $(2x - 1)(x - 5)$.<br /><br />4. Simplify the expression<br /> Cancel the common factor $(2x - 1)$ from the numerator and the denominator.
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