A quadratic equation is typically written in the form of [tex]\( ax^2 + bx + c = 0 \)[/tex].
Here's a detailed breakdown of each component:
1. [tex]\( ax^2 \)[/tex]: This term is the quadratic term, where [tex]\( a \)[/tex] is the coefficient of [tex]\( x^2 \)[/tex]. The variable [tex]\( x \)[/tex] is raised to the power of 2.
2. [tex]\( bx \)[/tex]: This is the linear term, where [tex]\( b \)[/tex] is the coefficient of [tex]\( x \)[/tex]. The variable [tex]\( x \)[/tex] is raised to the power of 1.
3. [tex]\( c \)[/tex]: This is the constant term. It does not contain the variable [tex]\( x \)[/tex].
4. [tex]\( = 0 \)[/tex]: This indicates that it is an equation, and the expression on the left-hand side is set equal to zero.
Therefore, the quadratic equation can be written in the box as:
[tex]\[ ax^2 + bx + c = 0 \][/tex]
