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Understanding Quadratic Factored Form

How do the Zero(s) of each linear function relate to the quadratic function? The quadratic equation is given to you in standard form. Can you find an alternate way of writing the equation? Why do you think this form of a quadratic function gives you the same zeros? Can this form (quadratic factored form) create every possible quadratic function? How do you know? Can quadratic standard form create every possible quadratic function? Provide evidence If you wanted a quadratic equation with specific zeros, how would you create it? Give an example.