SOLUTION: can you help me rewrite the middle term as the sum of two terms and then factor completely? x^2+5x-24

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Question 75609: can you help me rewrite the middle term as the sum of two terms and then factor completely?
x^2+5x-24
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+5x-24
Factor 24(8*3; 12*2; 6*4) which factor when added or subtracted will equal 5x?
The combination of (8*3)will give 8+(-3)=5
.
x^2+8x-3x-24
(x+8)(x-3) [Use the FOIL method to check]
x^2-3x+8x-24
x^2+5x-24