Divide and Conquer: Factoring x2+bx+c

     FACTORING is splitting a number of expression into smaller parts.  Those parts multiply together to equal the original number.

For example:

6

can be made with 2 x 3 or 6 x 1

Therefore, factors of 6 are 2 & 3 and 6 & 1

     Factors can be taken from expressions too.  It's a bit trickier, but not impossible.  This packet will show you how to factor expressions in the form of x² + bx + c.

     Factoring is just like dividing a section into smaller parts, so it is easier to conquer!

     Some things to know before going forward: FOIL-ing is the method of multiplying two binomials, First Outer Inner Last.  Check out this awesome packet if you need to jog your memory.  And in the next video, when I refer to "the last video," I mean this description.

• If c is positive, then the factors you're looking for are either both positive or else both negative.
  If b is positive, then the factors are positive
  If b is negative, then the factors are negative.
  In either case, you're looking for factors that add to b.

• If c is negative, then the factors you're looking for are of alternating signs;
  that is, one is negative and one is positive.
  If b is positive, then the larger factor is positive.
  If b is negative, then the larger factor is negative.
  In either case, you're looking for factors that are b units apart.