1. State the problem. Problem: Rewrite the quadratic equation $$x^2 - 6 = 11x$$ in standard form and identify $a$, $b$, and $c$. 2. Formula and important rules. The standard form of a quadratic is $$ax^2 + bx + c = 0$$ Rule: The coefficient $a$ must not be zero and terms should be ordered by descending powers of $x$. 3. Move all terms to one side. Start with the given equation: $$x^2 - 6 = 11x$$ Subtract $11x$ from both sides to collect like terms on the left: $$x^2 - 6 - 11x = 0$$ Reorder terms in descending powers of $x$ to get standard form: $$x^2 - 11x - 6 = 0$$ 4. Identify $a$, $b$, and $c$. Compare with $$ax^2 + bx + c = 0$$ to read off the coefficients: $a = 1$, $b = -11$, $c = -6$. 5. Final answer. Standard form: $$x^2 - 11x - 6 = 0$$ Coefficients: $a = 1$, $b = -11$, $c = -6$.