How do you factor #20x^2 - 41x + 20#? Algebra Polynomials and Factoring Factorization of Quadratic Expressions 1 Answer EZ as pi May 13, 2016 #(4x - 5)(5x - 4) " "16+25 = 41# Explanation: #color(red)(20)x^2 color(brown)(-) color(blue)(41)x color(teal)(+) color(orange)(20)# You are looking for the factors of #color(red)(20 ) and color(orange)(20) " which" color(teal)(" add") " together to give " color(blue)(41)#. #"The signs in the brackets are" color(teal)( " the same"), "they are both" color(brown)(" negative").# #(4x - 5)(5x - 4)# Answer link Related questions How do you factor trinomials? What is factorization of quadratic expressions? How do you factor quadratic equations with a coefficient? What are some examples of factoring quadratic expressions? How do you check that you factored a quadratic correctly? How do you factor #x^2+16x+48#? How do you factor #x^2-9x+20#? Question #3fdac How do you factor #8+z^6#? There is no GCF to be factor out, so is there another method to complete this? How do you factor #2t^2+7t+3#? See all questions in Factorization of Quadratic Expressions Impact of this question 3900 views around the world You can reuse this answer Creative Commons License