Did I factor this polynomial correctly?

Question

anonymous · Answer

$$30x^2+76x+48$$$$30x^2+36x+40x+48$$$$6x(5x+6)+8(5x+6)$$$$(6x+8)(5x+6)$$

btaylor · Answer

Yes, but you can go further. There is a GCF between x+8 so you have to factor that out for it to be fully factored.

phi · Answer

Btaylor is saying factor a 2 out of (6x+8)

anonymous · Answer

Would the problem produce a different result if Line 2 was written as...
$$30x^2+40x+36x+48?$$
Explain why or why not

btaylor · Answer

No. You would factor out a 10x of the first two terms and a 12 out of the last two, and still have the GCF, though in a different term.
Try it and see.

anonymous · Answer

Okay, so the actual answer is 2(3x+4)(5x+6).

btaylor · Answer

Yes. Nice work.

anonymous · Answer

Yay. \o/
Thank-you.  Hopefully that is the last question. (/)v(\)

anonymous · Answer

you could use the formula -bplusminus squareroot (b^2 -4ac)/2a,  (so a is 30, b is 76, and c is 48)

anonymous · Answer

its called the quadratic formula

anonymous · Answer

Thank you to all. :)

And @monroiking :

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