Tag Archives: Simplify

Week 7 – Math 10 – Factoring Polynomials

This week in math 10 we learned how to Factoring Polynomials. There are several ways to factor polynomials.

Common factors: To make an equation easier to understand, you can find a common factor in the numbers. The example I will be using is: 2x^2 + 12x + 10

all number in this equation have a common factor of 2, so we have to divide all the hole equation. and this is the result: 2(x^4 + 6x + 5)

Trinomials: x^2 -11 + 28

In order to factor the example above, we need to find 2 numbers that add or subtract to -11 and multiply to 28. To Start,  I will create a list of factors for 28: 1,2,4,7,14,28

7+4=11 so -7-4=-11 and that means our simplified equation is:

(x-7)(x-4)

Binomials: x^2 – 25

(x-5)(x+5)