SOLUTION: rewrite the middle term as the sum of two terms and then factor by grouping x^2+19x+90

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Question 85152: rewrite the middle term as the sum of two terms and then factor by grouping
x^2+19x+90
Found 2 solutions by jim_thompson5910, tutorcecilia:
Answer by jim_thompson5910(35256) About Me  (Show Source):
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+19x+90 [to find the middle term, add the factors of 90 and try to find the factors that add up to 19]
.
45+2=47 (no)
90 + 1 = 91 (no)
30 + 3 = 33 (no)
9 + 10 = 19 (yes)
.
x^2+19x+90
x^2+9x+10x+90
(x+9)(x+10)