Rewrite functions in equivalent forms to reveal and explain useful properties.
Choose the equivalent form that best reveals a requested feature of a function
Problem
Rewrite \(x^2~-~5x~+~6\) in an equivalent form that directly reveals its zeros.
Big Picture
What this problem is really about
Equivalent forms are useful for different features, so start with the feature the prompt asks to expose. Zeros are most visible in factored form because each factor can be set equal to zero independently. Build the factors from a product-and-sum check, then expand them once to confirm the rewrite still represents the original quadratic.
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