Create equations in two or more variables, graph them, and interpret relationships with labels and scales.
Write a unique simplest equation from specified graph features and scale
Problem
Write the least-degree monic polynomial with simple zeros \(-2\) and \(3\), and verify the zeros.
Big Picture
What this problem is really about
Translate each zero into a factor using x minus the zero, paying close attention to the sign. Simple zeros need one copy of each factor, which also gives the least possible degree. The word monic fixes the remaining scale at a leading coefficient of one, and substitution verifies that both specified inputs really make the product zero.
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