How do you add #(x^2 + 3x+5) + (x^2 + 4x + 1) #? Algebra Polynomials and Factoring Addition and Subtraction of Polynomials 1 Answer Alan P. · Konstantinos Michailidis Sep 9, 2015 #(x^2+3x+5)+(x^2+4x+1)# #color(white)("XXX")=2x^2+7x+6# Explanation: Well you can do it like this #(color(red)(x^2)+color(red)(3x)+color(red)(5))+(color(blue)(x^2)+color(blue)(4x)+color(blue)(1))# #color(white)("XXX")=(color(red)(x^2)+color(blue)(x^2))+(color(red)(3x)+color(blue)(4x))+(color(red)(5)+color(blue)(1))# #color(white)("XXX")=2x^2+7x+6# Answer link Related questions How do you add two polynomials? How do you subtract two polynomials? How do you add and simplify #3x^2-4x+7# and #2x^3-4x^2-6x+5#? How do you subtract #5b^2-2a^2# from #4a^2-8ab-9b^2#? How do you simplify #(6.9a^2-2.3b^2+2ab)+(3.1a-2.5b^2+b)#? How do you simplify #(-t+15t^2)-(5t^2+2t-9)#? How do you subtract #(-5m^2-m)-(3m^2+4m-5)#? How do you add two polynomials if they don't have like terms? How do you simplify #(3a+4b)-(-6a-3b)#? How do you subtract #(x^2-8x+7)-(6x^2+7x-3)#? See all questions in Addition and Subtraction of Polynomials Impact of this question 1497 views around the world You can reuse this answer Creative Commons License