Week 10 in Math 10

In Math this week we are continuing to factor polynomials. Throughout the week we learned four different types of Polynomials with four different patterns that we can use to factor them.

Factoring Binomials:

The pattern to these is that you can find the GCF which in this case was 6 and just divide everything by 6 to get your answer.

Factoring Square Binomials:

This is where all the numbers in the equation are perfect squares, which if you can recognize make factoring it much easier.

Factoring Simple Trinomials:

The pattern here is you need to find two numbers that add to the 2nd number  (6) and multiply to the last number (8). The reason it is simple is because the has no coefficient.

Factoring “Ugly” Trinomials:

The reason it is an “Ugly” Trinomial is because it has a the has a coefficient. This means there is no real simple pattern to figure it out. So to solve it we have to use the box method.

First you start by drawing a box with four quadrants and put the first number in the top left square and the last number in the bottom left square. Then you multiply them together in this case it was . Now we need to find to multiples of 12 that equals the middle number of the equation (+13x) which would be 1 and 12. So you write those in the other remaining squares. The last part is to find common numbers in the rows of the square and it gives you your answer.