AC Method

Skip to main content

\(\newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} \)

Section 4.3 AC Method

Subsection 4.3.1 What’s the point?

We start our discussion of factoring quadratics using the AC Method by reviewing multiplication of polynomials. We discussed it in Section 3.4.

Hint. Video explanation

Subsection 4.3.2 Let’s Generalize

Instead of using specific constants, what if we considered multiplying two general binomials.

Hint. Video explanation

Figure 4.3.1. DoenetML example

Subsection 4.3.3 Intuition for the Technique

Here’s an example of a problem that can be solved using the AC Method.

Hint. Video explanation

Subsection 4.3.4 Self Quiz

Download a print version of the self quiz with answers by clicking here.

Subsection 4.3.5 Practice Problems