if ( 2-q ) is one factor of 4- 2q -6p + 3pq , what is other factor?

Question

if ( 2-q ) is one factor of 4- 2q -6p + 3pq , what is other  factor?

anonymous · Answer

Hint: your second factor has to have a number plus or minus p.

anonymous · Answer

(2-q)(? plus or minus ?) Have a go, it just comes out..

anonymous · Answer

( 2 - 3q)

anonymous · Answer

(2-3p), but yes that is correct

anonymous · Answer

Yes, that does work if you switch q for p in your answer.  If you left is as q, you would have q^2 terms.  A really great way to check your answer is to foil out the factors you think are right and see if you get the expression they gave you in the problem.

anonymous · Answer

tell me what foil means again?

anonymous · Answer

F.O.I.L. = First, Outer, Inner, Last

anonymous · Answer

Not you...

anonymous · Answer

:-)

anonymous · Answer

lol :) i know what it means it just hard sometimes

anonymous · Answer

What can I say, I see a question, I answer it... :)

anonymous · Answer

I was just taught to multiply each bit of the first bracket by every bit of the second.

Long time ago, though...

anonymous · Answer

its very hard for me cause math was never my best subject

anonymous · Answer

Foiling is hard sometimes, yeah.  Estudier has the right idea, though.  Foiling is just a way of making sure that you multiply everything by everything else and then add it all up.

anonymous · Answer

So this question is unfoiling?

katrinakaif · Answer

Do you know the box method? Its easier than FOIL well atleast fo rme it is :)

anonymous · Answer

I want to know the box method as well..

anonymous · Answer

Same thing...they are all short cuts of doing 3 distributions.

amistre64 · Answer

long division might work?


              2 -3p
      -----------------
2-q | 4- 2q -6p + 3pq
       -4+2q
       -------
           0     -6p + 3pq
                   +6p -3pq
                  -----------
                           0

anonymous · Answer

I guess foil is just for 2 terms in each bracket, is that right?

Or is there a foil generalization?

amistre64 · Answer

foil is what we teach kindergarteners that havent learned better methods :)

anonymous · Answer

I would always tell my students to replace the second binomial with a thing...like a smiley face.  Then distribute this simley into the first binomial.

Next replace the smiley with the original binomial and do the two distributions.

That methoid then works for any size polynomial times anysize polynomial.

anonymous · Answer

Smiley foil, I like it:-)

amistre64 · Answer

"foil" is simply memory clutter ....