How would you put this expression in factored form? 4x2 + 11x + 6

Question

raden · Answer

the factor of 4x^2 is 4x * x and
the factor of 6 is 3 * 2

anonymous · Answer

So basically factor form is (4x*x)(3*2) in parenthesis like that right?

raden · Answer

that is just a hint :)
nopes.. it should be :
(4x+3)(x+2)

anonymous · Answer

Ohhh lol *excuse my having to ask* can you explain why/how that works?

raden · Answer

ok, the first we find the factors of 4x^2
so, u can represent to (4x ......)(x.......) or (2x .....)(2x.......)
and for this case, the ideal pear is  (4x ......)(x.......)

raden · Answer

next, we find the factor of 6. the possible it can be 
1 * 6 or reverse and
2 * 3 or reverse, but for this case the ideal pairs of it is 3 * 2

raden · Answer

but, u have to recheck again for the middle term ("11x"), it comes from :
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