How do you factor y^5+y^4-5y^3-5y^2y5+y4−5y3−5y2? Algebra Polynomials and Factoring Factoring Completely 1 Answer Ratnaker Mehta Aug 14, 2016 y^2(y+1)(y+sqrt5)(y-sqrt5)y2(y+1)(y+√5)(y−√5). Explanation: The expression=y^5+y^4-5y^3-5y^2=y5+y4−5y3−5y2 =y^4(y+1)-5y^2(y+1)=y4(y+1)−5y2(y+1) =(y+1)(y^4-5y^2)=(y+1)(y4−5y2) =y^2(y+1)(y^2-5)=y2(y+1)(y2−5) =y^2(y+1)(y+sqrt5)(y-sqrt5)=y2(y+1)(y+√5)(y−√5). 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^2-82x2−8? Which method do you use to factor 3x(x-1)+4(x-1) 3x(x−1)+4(x−1)? What are the factors of 12x^3+12x^2+3x12x3+12x2+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^2-7512c2−75 completely? How do you factor x^6-26x^3-27x6−26x3−27? How do you factor 100x^2+180x+81100x2+180x+81? See all questions in Factoring Completely Impact of this question 1038 views around the world You can reuse this answer Creative Commons License