How do you factor the expression #x^2 + 9x + 8#?

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Answer 1 · 2018-04-30T21:22:33

#=>(x+1)(x+8)#

#=>x^2+9x+8#

We need to find two factors of #8#, such that the sum of the two factors is #9#.

Factors of #8#:

#=>1,8 -> 1+8=9#
#=>2,4 -> 2+4=6#

As we can see, the factors #1# and #8# give us a sum of #9#.

Hence,

#=>x^2+9x+8=(x+1)(x+8)#