resources for Wednesday 11 October class

Here are some resources for today’s class:

Long division with missing terms or divisor has degree > 1: (see also the videos linked last time)

Mathbits notebook

Synthetic division:

Mathbits notebook

Example from Patrick’s Just Math Tutorials

The factor theorem:

is a factor of the polynomial

the remainder is 0 when you divide by .

The remainder theorem:

When you divide the polynomial by , the remainder is the same as .

The root theorem:

is a root of the polynomial

is a factor of .

[so when you divide the polynomial by , the remainder is 0.]