How do you factor #2x^4-8x^3-11x^2-4x-6#? Algebra Polynomials and Factoring Factoring by Grouping 1 Answer Konstantinos Michailidis Jul 25, 2016 We have that #2x^4-8x^3-11x^2-4x-6=2x^4-8x^3-(12-1)x^2-4x-6= 2x^4-8x^3-12x^2+x^2-4x-6=2x^2(x^2-4x-6)+(x^2-4x-6)= (x^2-4x-6)*(2x^2+1)=(x+sqrt10-2)*(x-sqrt10-2)*(2x^2+1)# Footnote We write #11=12-1# Answer link Related questions What is Factoring by Grouping? How do you factor by grouping four-term polynomials and trinomials? Why does factoring polynomials by grouping work? How do you factor #2x+2y+ax+ay#? How do you factor #3x^2+8x+4# by using the grouping method? How do you factor #6x^2-9x+10x-15#? How do you group and factor #4jk-8j^2+5k-10j#? What are the factors of #2m^3+3m^2+4m+6#? How do you factor quadratics by using the grouping method? How do you factor #x^4-2x^3+5x-10#? See all questions in Factoring by Grouping Impact of this question 2699 views around the world You can reuse this answer Creative Commons License