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Let’s check out your problem:

f(x)=(x^(2)+3x+2)/(x-1)

f(x)=x2+3x+2x−1 f(x)=\frac{x^{2}+3 x+2}{x-1}

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Evaluate integers raised to rational exponentsright chevron icon

Full solution

Q. f(x)=x2+3x+2x−1 f(x)=\frac{x^{2}+3 x+2}{x-1}
  1. Factorize numerator: Factor the numerator x2+3x+2x^2 + 3x + 2.$x2+3x+2=(x+1)(x+2)\$x^2 + 3x + 2 = (x + 1)(x + 2)
  2. Write function with factored numerator: Write the function with the factored numerator. f(x)=(x+1)(x+2)x−1f(x) = \frac{(x + 1)(x + 2)}{x - 1}
  3. Check for common factors: Check for common factors in the numerator and denominator.\newlineNo common factors; can't simplify further.
  4. State simplified function: State the simplified function. f(x)=(x+1)(x+2)x−1f(x) = \frac{(x + 1)(x + 2)}{x - 1}

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