Factoring Review Worksheets

How to Factor an Equation- For most students, the sight of factorization strike fears in their hearts, mostly because it seems like a tough problem to solve. However, factorization can be the easiest form algebraic problems to resolve. In other words, the most fundamental tools for resolving equations are addition, subtraction, multiplication and division. These tools are helpful if you’re solving easier problems. However, if you have an expression which carries an exponent such as x^2+3x=8x-6? In such scenarios, factoring comes in quite handy. Let's solve the above-mentioned example sequentially. Firstly, move all the terms to the left side of the equation and leave 0 on the right side. However, when you move the terms, you need to be certain that signs should become the opposite. x² + 3x - 8x + 6 = 0, x² - 5x + 6 = 0 Now, we’ll identify the trinomial and factor it accordingly. (x-2)(x-3) = 0 The next step is to set each factor value to 0, and the result you get is two subproblems. x-2 = 0, x-3 = 0. The final step to combine the solution since the answer is only for one variable. x = 2,3