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Your answer should be a polynomial. (x2−7x+12)/(x−3)(x^2-7x+12)/(x-3)

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Full solution

Q. Your answer should be a polynomial. (x2−7x+12)/(x−3)(x^2-7x+12)/(x-3)
  1. Factorize the numerator: First, factorize the numerator x2−7x+12x^2 - 7x + 12. x2−7x+12=(x−3)(x−4)x^2 - 7x + 12 = (x - 3)(x - 4)
  2. Observe the denominator: Next, observe the denominator x−3x - 3. Since the numerator has a factor of (x−3)(x - 3), we can cancel this term with the denominator. (x−3)(x−4)(x−3)=x−4\frac{(x - 3)(x - 4)}{(x - 3)} = x - 4

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