How do you factor the trinomial #x^2+8x+12#? Algebra Polynomials and Factoring Factorization of Quadratic Expressions 2 Answers Megan T. · Shantelle Apr 6, 2018 #(x+2)(x+6)# Explanation: #2+6=8# #2*6=12# #(x+2)(x+6)# Check: #= x^2 + 6x + 2x +12# #= x^2 + 8x + 12# Answer link Armin Nahar Mim · Stefan V. Apr 6, 2018 #(x+6)(x+2)# Explanation: #12=6*2#; where #6+2=8# #12=3*4#; where #3+4=7# #12=12*1#, where #12+1=13# So we will take #6# and #2#. Now; #x^2+8x+12# #x^2+6x+2x+12# #x(x+6)+2(x+6)# #(x+6)(x+2)# 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 4461 views around the world You can reuse this answer Creative Commons License