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Mathematics 16 Online
OpenStudy (arbyj):

how do i factor 2x^2+22x+48 ?

OpenStudy (blackstreet23):

2 (x^22+b24)

OpenStudy (blackstreet23):

sorry

OpenStudy (blackstreet23):

2 (x^22 + 24)

OpenStudy (mathmale):

This expression has two terms. Blackstreet23 has recognized that the factor 2 was common to both terms, so he factored that out. @arbyj: Is any further factoring possible?

OpenStudy (arbyj):

uhh no

OpenStudy (arbyj):

so it would just be 2(x^2+11x+24)?

OpenStudy (blackstreet23):

ohh it has more elements.

OpenStudy (arbyj):

oh snap i set it up wrong i apologize haha

OpenStudy (blackstreet23):

can you show me the original?

OpenStudy (arbyj):

i edited my question

OpenStudy (anonymous):

still factor out a 2

OpenStudy (blackstreet23):

you need to apply the quadratic formula.

OpenStudy (anonymous):

he's trying to factor it though not solve it

OpenStudy (anonymous):

what are two factors of 24 that sum to 11?

OpenStudy (blackstreet23):

\[(-b + - \sqrt{b^2-4ac})/2\]

OpenStudy (arbyj):

8 & 3

OpenStudy (anonymous):

so your answer is 2(x+8)(x+3)

OpenStudy (arbyj):

ohh kay

OpenStudy (blackstreet23):

ohh yeah he is right

OpenStudy (arbyj):

so i was supposed to divide everything by 2?

OpenStudy (anonymous):

Factoring out the 2 makes it easier to factor. (Keep in mind you aren't dividing it by 2 you are just factoring out a 2. The 2 is still there.)

OpenStudy (arbyj):

ohh okay

OpenStudy (anonymous):

An example of this could be 5x^2+65x+180 you would factor out a 5 took make the whole expression much easier to factor.

OpenStudy (anonymous):

the took is supposed to be a "to" :P

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