How do you combine like terms in #(5x ^ { 2} - 6x + 27) + ( 3x ^ { 2} + 8x - 70)#?

1 Answer
AltairSafir
Apr 12, 2018

Add coefficient:
#p_1=a_0+a_1x+a_2x^2+...+a_nx^n#
#p_2=b_0+b_1x+b_2x^2+...+b_nx^n#
#p_1+p_2=#
#=(a_0+b_0)+(a_1+b_1)x+(a_2+b_2)x^2+...+(a_n+b_n)x^n#

Explanation:

#(5x ^ { 2} - 6x + 27) + ( 3x ^ { 2} + 8x - 70)=#
#=(5+3)x^2+(8-6)*x+27-70=#
#=8x^2+2*x-43#

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