How do you divide # x ^ { 2} + 7x + 10# by # x + 5#?

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Answer 1 · 2017-08-10T16:12:28

#(x^2+7x+10)/(x+5)=x+2#

#x^2+7x+10#

= #x^2+5x+2x+10#

= #x(x+5)+2(x+5)#

= #(x+2)(x+5)#

Hence #(x^2+7x+10)/(x+5)#

= #((x+2)(x+5))/((x+5))#

= #x+2#