Definition and standard form
A quadratic equation has the form ax2+bx+c=0, where a,b,c are numbers and a=0 (otherwise the equation is linear, not quadratic).
It is convenient to call a the leading coefficient, b the coefficient of x, and c the constant term.
Any quadratic can be brought to this form: move everything to one side, combine like terms, divide by a common factor if needed. The general solution via the discriminant and the quadratic formula comes in later lessons; today we cover cases where roots are found more quickly.
a=0 is required
A root is a value of x that makes the equality a true numerical statement
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