PLEASE HELP!!!

Two students, Ann and Max, factored the trinomial 4x2 − 6x − 4. Ann factored it as 2(x − 2)(2x + 1) and Max factored it as (x − 2)(4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why.

Question

PLEASE HELP!!!

Two students, Ann and Max, factored the trinomial 4x2 − 6x − 4. Ann factored it as 2(x − 2)(2x + 1) and Max factored it as (x − 2)(4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why.

anonymous · Answer

Ann factored it completely, as she factored out a term that Max left in his factorization.

anonymous · Answer

Ann factored it completely, as she factored out a term that Max left in his factorization.

anonymous · Answer

can you tell me how you got that?

anonymous · Answer

@tkhunny

anonymous · Answer

@pooja195 @Luigi0210 @phi @whpalmer4

tkhunny · Answer

You should "Factor It Completely" and see who agrees with you.

anonymous · Answer

how do i factor it @tkhunny ?

whpalmer4 · Answer

Max factored it as $$(x − 2)(4x + 2)$$

Look at the two terms there:  can you factor out anything from 
$$(x-2)$$?
How about from $$(4x+2)$$?

whpalmer4 · Answer

Put another way, can you write down an equation for a multiplication of 2 terms that will give you one of those quantities in parentheses?  If you can, than that quantity can be factored again.

As an example, say we have
$$(3x+6)$$Is it possible to write a multiplication where the answer is $3x+6$?
How about$$3(x+2) = 3*x + 3*2 = 3x + 6$$That means if we see $3x+6$, we can factor it as $3(x+2)$ because $3(x+2) = 3x+6$