Next we divided a cubic by a linear function. Some students wanted to use the long division algorithm but I encourage all to use the area = length * width model. We also verified that our solution was correct.

Here is some of the notes that I put on my whiteboard.

Next we talked about linear factors that divided in evenly would have a remainder of zero. Therefore if we can find a number that makes the function zero i.e.

*f(a) = 0*then*x - a*is a factor or*f(a/b) = 0*then*bx - a*is a factor. Here are some examples with sketches of the graphs(three different questions). First one is my work.

We then went back and divided a Quartic by a quadratic to get a quadratic quotient and a linear remainder.

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