How do you factor 4x^2-16x+15? Algebra Polynomials and Factoring Factorization of Quadratic Expressions 1 Answer Shwetank Mauria Jun 2, 2016 4x^2-16x+15=(2x-3)(2x-5) Explanation: To factorize ax^2+bx+c, one should split middle term in two parts, so that their product is ac and sum is b. Hence in 4x^2-16x+15, while the product should be 4xx15=60, sum should be -16. It is apparent that these are -6 and -10. Hence 4x^2-16x+15 = 4x^2-10x-6x+15 = 2x(2x-5)-3(2x-5) = (2x-3)(2x-5) 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 20949 views around the world You can reuse this answer Creative Commons License