In a quadratic equation, the standard form is typically written as ( ax^2 + bx + c = 0 ). If the roots of the equation are 0 and 3, the equation can be derived from its factored form, which is ( (x - 0)(x - 3) = 0 ). Expanding this gives ( x^2 - 3x = 0 ), or in standard form, ( x^2 - 3x + 0 = 0 ). Thus, the quadratic equation in standard form is ( x^2 - 3x = 0 ).
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