How to Tell If Quadratic Equations Are Factorable? Factorizing different polynomial expressions can be a tricky task as you consistently move towards the advanced level of algebra. However, there is a way you can find out whether the quadratic equations are factorable or not instead of just diving into the problem. You can find the discriminant of the expression, which is a lot easier. Let's discuss this in detail with an example, i.e. x2 + 3x + 2 = 0. To find out the discriminant, you can use the formula is D= b2 + 4ac. In the present example, the unknown values are a = 1, b = 3 and c = 2. Now, all you must do is place the value in the discriminant formula. For instance, D= 32 + 4 × 1 × 2. The answer for the determinant is 16, which is a perfect square. The answer suggests that the expression is factorable. However, if you get a possible non-perfect square value, then it is possible that you can get a positive answer, but it is factorable. Unfortunately, if you get a negative answer, it is highly likely that the expression is non-factorable.

• ### Basic Lesson

Demonstrates general rules for solving quadratic equations.

• ### Intermediate Lesson

Explores how to approach complex quadratic equations.

• ### Independent Practice 1

Solve each of the following quadratic equations. The answers can be found below.

• ### Independent Practice 2

Features another 20 Factorable Quadratic Equations problems.

• ### Homework Worksheet

Factorable Quadratic Equations problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Factorable Quadratic Equations problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Hard Work

There are two ways to do great mathematics. The first is to be smarter than everybody else. The second way is to be stupider than everybody else -- but persistent." -- Raoul Bott