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Mathematics 12 Online
OpenStudy (anonymous):

(x^2+10x+24)/(x+6)

jimthompson5910 (jim_thompson5910):

Hint: x^2 + 10x + 24 factors to (x+4)(x+6) since 4+6 = 10 and 4*6 = 24

OpenStudy (anonymous):

how do you get rid of the 10x??

jimthompson5910 (jim_thompson5910):

(x+4)(x+6) x(x+6)+4(x+6) x^2 + 6x + 4x + 24 x^2 + 10x + 24 Follow that backwards to show that x^2 + 10x + 24 factors to (x+4)(x+6)

OpenStudy (anonymous):

I know the answer is x+4

jimthompson5910 (jim_thompson5910):

We need to find two numbers that multiply to 24 and add to 10

jimthompson5910 (jim_thompson5910):

These two numbers are 4 and 6

jimthompson5910 (jim_thompson5910):

So it factors to (x+4)(x+6)

OpenStudy (anonymous):

ok thx :)

jimthompson5910 (jim_thompson5910):

np

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