Question

How many forms of quadratic equations are there?

Answer 1

Definition of a quadratic equation :

Quadratic equations are the polynomial equations of degree $2$ in one variable of type $f\left(x\right)=a{x}^2+bx+c$ where $a,b,c,\in R$ and $a\ne 0.$ It is the general form of a quadratic equation where $‘a’$is called the leading coefficient and $‘c’$ is called the absolute term of f (x). The values of $x$ satisfying the quadratic equation are the roots of the quadratic equation.

There are three different forms of quadratic equations, and they are:

• Standard form: The standard form of a quadratic equation is represented by $y=a{x}^2+bx+c$ where $a,b,$ and $c$ are just the numbers.
• Factored form: The factored form of a quadratic equation is represented by$y=(ax+c)(bx+d)$ where $a,b,c,$and $d$ are just the numbers.
• Vertex for: The vertex form of a quadratic equation is represented by $y=a{(x+b)}^2+c$ where $a,b,$ and $c$ are just the numbers.