Core 2 Chapter 1

This is called the factor theorem. This is used when you want to know if a number will be a factor of a quadratic equation or one with any power of x in it.
1. Do it by substituting the number in but by changing the sign in front of it ie if you want to check for 5 put in -5
  1. If it =o then it is a factor if not then it is not a factor. This method can also be used to find the remainder. The number at the end is the remainder.
The other thing is how to divide an equation by an (x-2) or other number
1. Start by drawing a table
  1. Place the number you are dividing by down the left hand side.
    1. Then place the highest power of x in the box to the left of the x number
      1. What times by x to make that number place this in the top of the column
        Then times by the number on the left and the top one
        What power of x is it and how many should you have? Then work the number out and place this next to your first power of x second row down that is.
        Continue for all powers of x
        If a remainder still occurs that will go in the far right column. finish by placing the whole new equation with any remainder in a line. Divide the remainder by what you divided by before.
        There is an example done look at it to clarify what i mean
        Example Divide 3x3-8x-9 by (x-2)

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