A quadratic equation is in standard form when it is written as $$ax^2 + bx + c = 0$$, with zero isolated on one side. Ensuring an equation is in this form is often a necessary first step before it can be factored and solved.

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A **quadratic equation** is a polynomial equation of degree two. Its general form is $$ax^2 + bx + c = 0$$, where $$a$$, $$b$$, and $$c$$ are real numbers and $$a \neq 0$$. If $$a = 0$$, the squared term disappears and the equation is no longer quadratic. Examples of quadratic equations include $$x^2 + 5x + 6 = 0$$, $$3y^2 + 4y = 10$$, $$64u^2 - 81 = 0$$, and $$n(n + 1) = 42$$ (which simplifies to a degree two expression $$n^2 + n = 42$$).

Quadratic Equation

https://openstax.org/details/books/intermediate-algebra-2e

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