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OpenStudy (anonymous):
what is the factorization of 2x2+18x+36
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OpenStudy (uri):
GCF is 2
OpenStudy (uri):
2(x^2+9x+18)
OpenStudy (uri):
Now get a number when we add or subract is 9 and mutiply is 18
OpenStudy (anonymous):
i think its either (x+6)(x+12) or 2(x+6)(x+6)
OpenStudy (uri):
Ah first get the numbers
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OpenStudy (anonymous):
im working in the problem but i dont know which of the answers is right
OpenStudy (uri):
Can this be factored more? @joemath314159
OpenStudy (anonymous):
Maybe pulling out the 2 first will make things easier:\[2(x^2+9x+18)\]
OpenStudy (anonymous):
What are two numbers that multiply to 18 and add up to 9?
OpenStudy (anonymous):
3,6
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OpenStudy (anonymous):
Right, and since everything is positive, it works out nicely:\[2(x+3)(x+6)\]
OpenStudy (anonymous):
ohhh so it 2(x+6)(x+3)
OpenStudy (mathstudent55):
1. Factor a common factor:
\(2x^2+18x+36 \)
\(= 2(x^2 + 9x + 18) \)
Find two factors of 18 that add to 9: 6 and 3
\(= 2(x + 3)(x + 6) \)
OpenStudy (mathstudent55):
Correct.
OpenStudy (anonymous):
thanks
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OpenStudy (uri):
lol i said the same thing...up there he/she responded with *ansurs*
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