Which of the following is a factor of 2x4 + 22x3 + 60x2?
2x3
x4
x + 4
x + 5

Question

Which of the following is a factor of 2x4 + 22x3 + 60x2?
 2x3
 x4
 x + 4
 x + 5

anonymous · Answer

Nnesha!!!!! lol yeah i changed my account cuz i hated my username

anonymous · Answer

i did the work but everything i did was different from the answers up top

nnesha · Answer

ohh can you show me work so i can see where you did mistake

anonymous · Answer

yeah hold on

nnesha · Answer

:)

anonymous · Answer

$$2x ^{2}\left( x ^{2}+11x +30 \right)$$

anonymous · Answer

this is what i got but idk

nnesha · Answer

yesh perfect 
okay so now you have to factor bracket part
(x^2 + 11x+30) <--- fine two number if you multiply them you should get 30 and if you add or subtract them you should get 11

nnesha · Answer

or you can use quadratic formula 
up to you :)

anonymous · Answer

okay  hold on

radar · Answer

Note that it is only asking if the following is a factor (not the largest common factor.  Try dividing the given equation by x + 5 and see if it is indeed a factor.

anonymous · Answer

okay

radar · Answer

Note that the quadratic provided by Nnesha can be factored and lo and behold one of those factors is a choice for answers.

mathmate · Answer

@radar 
Personally I would resort to the given answers only if we get stuck with working it out, as @Nnesha had been trying to help @ScarlettGrace<3 do.
Eventually we will get questions with open answers.

radar · Answer

Yes @mathmate, and I am pointing at the quadratic factors that was developed by Nnesha.

radar · Answer

I am going to award a medal to Nnesha for her straight forward manner in solving this thing.

mathmate · Answer

@radar 
Sorry, I notice you referred to @Nnesha answer.  I guess I did not type fast enough to refer to the appropriate response.  My apologies!

mathmate · Answer

agree!

radar · Answer

@mathmate No problem and you are right, I do have a bad habit of looking at the choices, and sometimes I don't find any that are correct which is the fallacy and as you say it is the process that is important to learn.

mathmate · Answer

@radar glad that we are on the same wavelength!  :)

radar · Answer

Good luck ScarlettGrace<3 I hope I did not lead you astray by asking you to divide by a trial answer (which was the correct answer), without providing you the basis for the trial.