Factoring Quadratic Polynomials - 6

Sabtu, 21 Februari 2026

        The coefficient of the x² term will not always factor away. In order to factor quadratics such as 4x² + 8x + 3 you will need to try all combinations of factors of 4 and of 3: . The blanks will be filled in with the factors of 3. You will need to check all of th possibilities: :

Example

4x² – 4x – 15

The possibilities to check are:

We have chosen these combinations to force the first and last terms of the quadratic to be 4x² and –15, respectively, we only need to check the combination that will give a middle term of –4x (if there is one).

Combination (l) is the correct factorization:

           

You can see that when the constant term and x²’s coefficient have many factors, this list of factorizations to check can grow rather long. Fortunately there is a way around this problem as we shall see in a later chapter.

Practice

Solutions

 

 

“Sumber Informasi”

Labels: Mathematician

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