We now learn how to split the middle term.
Splitting the middle term is a method for factoring quadratic equations.
By the end of this section we'll know how to write quadratics in factored form:
\[ax^2+bx+c = \begin{pmatrix} mx + d \end{pmatrix} \begin{pmatrix} nx + e \end{pmatrix} \]
For example, we'll know how to show that:
\[2x^2+7x+3 = \begin{pmatrix} 2x + 1 \end{pmatrix} \begin{pmatrix} x + 3 \end{pmatrix}\]
We start by watching a tutorial to learn a five-step method for factornig quadratics. We then read through the five steps
In the following tutorial we learn how to factor quadratics by splitting the middle term. Watch it now.
Given a quadratic: \[ax^2+bx+c\] We'll often be required to factor it. We say we write it in factored form.
Write each of the following quadratics in factored form:
Now that we have seen how to factor quadratics, by splitting the middle term,
Solve each of the following quadratic equations by factoring (splitting the middle term):