Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.

The best method I know of to show you how to solve these trinomials is by assigning values to the a and c values. The second polynomial will hypothetically look like this. 4x^2 + 8x + 4. To factor the following trinomials you must first multiply the first term and the last terms a and c values. In the first equation there is no a value so just assume that a is 1. So you start off by multiplying a by c. Which in our equation is 4 and 4, this means that the value is 16. The next step in the process is to find out what factors of 16 add up to the middle term b. The factors of 16 are: 1,2,4,4,8,16. Right away we can see that the two factors 4 and 4 add up to the middle term in our equation b, or 8. This means that we can rewrite our polynomial in the form of ax2+bx +bx + c. You then group the two terms, factor and solve. Our polynomial should look like: 4x^2 + 4x +4x + 4

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