Subjects algebra

Rational Expression Value 4E1C1A

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1. **Problem Statement:** Find the value of a rational expression, which is a fraction where both numerator and denominator are polynomials or numbers. 2. **Formula and Rules:** A rational expression is generally written as $$\frac{P(x)}{Q(x)}$$ where $P(x)$ and $Q(x)$ are polynomials and $Q(x) \neq 0$. 3. **Steps to Evaluate:** - Substitute the given value into both numerator and denominator. - Simplify numerator and denominator separately. - Divide the simplified numerator by the simplified denominator. 4. **Important:** Ensure the denominator is not zero after substitution, as division by zero is undefined. 5. **Example:** If the expression is $$\frac{2x+3}{x-1}$$ and $x=2$, then: - Numerator: $2(2)+3=4+3=7$ - Denominator: $2-1=1$ - Value: $$\frac{7}{1}=7$$ 6. **Summary:** To find the value of a rational expression, plug in the value, simplify numerator and denominator, and divide, ensuring denominator is not zero.