How do you divide (x^2-7x+12)/(x-5)? Precalculus Real Zeros of Polynomials Long Division of Polynomials 1 Answer Ernest Z. Jun 29, 2015 (x^2-7x+12)/(x-5) = x – 2 + 2/(x-5) Explanation: You use the process of long division. So, (x^2-7x+12)/(x-5) = x – 2 + 2/(x-5) Check: (x-5)(x-2+2/(x-5)) = (x-5)(x-2) + 2 = x^2 -7x +10 + 2 = x^2 -7x +12 Answer link Related questions What is long division of polynomials? How do I find a quotient using long division of polynomials? What are some examples of long division with polynomials? How do I divide polynomials by using long division? How do I use long division to simplify (2x^3+4x^2-5)/(x+3)? How do I use long division to simplify (x^3-4x^2+2x+5)/(x-2)? How do I use long division to simplify (2x^3-4x+7x^2+7)/(x^2+2x-1)? How do I use long division to simplify (4x^3-2x^2-3)/(2x^2-1)? How do I use long division to simplify (3x^3+4x+11)/(x^2-3x+2)? How do I use long division to simplify (12x^3-11x^2+9x+18)/(4x+3)? See all questions in Long Division of Polynomials Impact of this question 2246 views around the world You can reuse this answer Creative Commons License