Rewrite functions in equivalent forms to reveal and explain useful properties.
Rewrite a polynomial in factored form to reveal its zeros
Problem
What factored form would reveal the zeros of \(x^2-5x+6\)?
Big Picture
What this problem is really about
Factored form is useful here because each linear factor exposes one zero directly. For a monic quadratic, find two constants whose product matches the constant term and whose sum matches the middle coefficient, paying close attention to signs. Expand the product to confirm equivalence, then set each factor equal to zero to read the graph’s intercept inputs.
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