what is the factored form of 6x^2+8x+2

Question

anonymous · Answer

Welcome to Open Study.

Basic equation to solve.

Start by solving 6x^2

zzr0ck3r · Answer

so we want two numbers that multiply to 6*2 = 12 but add to 8

6 and 2 are two such numbers

so expand the middle term

$6x^2+8x+2\iff 6x^2+6x+2x+2$ and now factor what you can from the first two terms

$6x^2+6x+2x+2 = 6x(x+1)+2x+2$ now factor what you can from the last two terms to make them look like the first two terms

$6x(x+1)+2x+2=6x(x+1)+2(x+1)$ now factor out the $(x+1$ that both terms share


$6x(x+1)+2(x+1) = (x+1)(6x+2)= 6x^2+8x+2$

zzr0ck3r · Answer

I am not sure what @vzfreakz is refering to when he/she says solve $6x^2$. But this is how I go about doing these types of problems...

anonymous · Answer

Oh Okay! Thanks a lot, i'm not really fond with math so that really helped :)