This week in Math 10 we started to learn how to factor polynomials which means to break down polynomials into simpler terms so that when they are multiplied together, they equal the original polynomial.

Step 1: In this example that I have created I started off by finding the greatest common factor (the biggest number that divides into 

the given numbers) of 14, 21, and 35. I did this buy finding the prime factorization of these three numbers and found the common number which is 7.

Step 2: Then I looked for the greatest common factor of the variables and their exponents by looking at which variables I had which were a and b. Then I looked at the smallest exponent of these variables which were 2 for both a and b

GMF of this equation is 7a^2b^2

Step 3: Then I wanted to be able to use this gmf to equal the original polynomial so I had to find out how many times to multiply this gmf to equal all the terms

I ended up with 7a^2b^2(2+3a-5b)