How do find the quotient of (x^2-3x+2) div (x-1)(x2−3x+2)÷(x−1)? Algebra Rational Equations and Functions Division of Polynomials 1 Answer De Rono Oct 27, 2015 x-2x−2 Explanation: (x^2-3x+2) -: (x-1) (x2−3x+2)÷(x−1) =(x^2-x-2x+2)-: (x-1)=(x2−x−2x+2)÷(x−1) =(x(x-1)-2(x-1))-: (x-1)=(x(x−1)−2(x−1))÷(x−1) =(x-1)(x-2)-: (x-1)=(x−1)(x−2)÷(x−1) =x-2=x−2 Answer link Related questions What is an example of long division of polynomials? How do you do long division of polynomials with remainders? How do you divide 9x^2-169x2−16 by 3x+43x+4? How do you divide \frac{x^2+2x-5}{x}x2+2x−5x? How do you divide \frac{x^2+3x+6}{x+1}x2+3x+6x+1? How do you divide \frac{x^4-2x}{8x+24}x4−2x8x+24? How do you divide: (4x^2-10x-24)(4x2−10x−24) divide by (2x+3)? How do you divide: 5a^2+6a-95a2+6a−9 into 25a^425a4? How do you simplify (3m^22 + 27 mn - 12)/(3m)3m22+27mn−123m? How do you simplify (25-a^2) / (a^2 +a -30)25−a2a2+a−30? See all questions in Division of Polynomials Impact of this question 3413 views around the world You can reuse this answer Creative Commons License