How do you factor 5x^2 - 7x + 2? Algebra Polynomials and Factoring Factoring Completely 1 Answer George C. May 25, 2015 First notice that 1 is a root of 5x^2-7x+2 = 0 so (x-1) is a factor. So we can split the middle term as follows: 5x^2-7x+2 = 5x^2-5x-2x+2 = 5x(x-1)-2(x-1) = (5x-2)(x-1) Answer link Related questions What is Factoring Completely? How do you know when you have completely factored a polynomial? Which methods of factoring do you use to factor completely? How do you factor completely 2x^2-8? Which method do you use to factor 3x(x-1)+4(x-1) ? What are the factors of 12x^3+12x^2+3x? How do you find the two numbers by using the factoring method, if one number is seven more than... How do you factor 12c^2-75 completely? How do you factor x^6-26x^3-27? How do you factor 100x^2+180x+81? See all questions in Factoring Completely Impact of this question 26512 views around the world You can reuse this answer Creative Commons License