Directrix may you help me divide the polynomial? :3

Question

alones · Answer

(20x2 + 10x) ÷ 5x
how should i start

directrix · Answer

Are you supposed to do long division or synthetic division or just divide in the manner you like?

alones · Answer

Umm the maner i like

alones · Answer

it just says to find the qotient

alones · Answer

##quotient.

directrix · Answer

Factor 10*x from this:  (20x^2 + 10x)


 (20x^2 + 10x) = 10x*( ?   +  ?)

alones · Answer

Okay so 10x +10x?

directrix · Answer

Not quite.

10x times  what  gives 20x^2.

alones · Answer

So that would be 10^2?

alones · Answer

Oh **1

alones · Answer

wait.. 10x(2x + 1)

directrix · Answer

Okay.

alones · Answer

yeah is that

directrix · Answer

Putting the problem together:


 (20x^2 + 10x)                         10x*( 2x + 1)
-------------------   =    ----------------------    = 
     5x                                               5x

directrix · Answer

What is 10x divided by 5x equal?

alones · Answer

how would i diveide 10 by 5 O.O

directrix · Answer

5 times what number gives 10

alones · Answer

Oh that ..it's 2

alones · Answer

@Directrix i got the same one as you did<3
4x + 2.

directrix · Answer

Wow. Look at the problem instructions to determine if you are to leave the answer in factored form.  I had 2*(2x + 1) which is the same as 4x + 2 when the distributive property is applied.