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QUADRATIC EQUATION IN STANDARD FORM PLUS

b = 0Ĭonsider a case in such a way that the coefficient of variable $x$ is zero in the quadratic equation. There are three important cases to learn more about the standard form of a quadratic equation. It clears that the coefficient of square of $x$ represents the real numbers but its value should not be equal to zero. Now, the equation is not a quadratic equation and it is a linear equation in one variable. There is no variable in square form in the equation.

The constant $c$ is called the constant term.Īssume that the value of the coefficient of $x$ square is equal to zero.

So, The constant $b$ is called the coefficient of variable $x$.

The constant $b$ is multiplied by the variable $x$ in the second term.

So, The constant $a$ is called the coefficient of $x$ square.

The constant $a$ is multiplied by the square of $x$ in the first term on the left hand side of the equation.

Now, it is time to learn more about the constants $a$, $b$ and $c$ in the standard form of a quadratic equation.

The exponents of a variable in all terms are different and the terms in the equation are written in such a way that the exponents of a variable are in descending order.

Each term is a product of a constant and a variable with an exponent.

The sum of three terms is equal to zero.

Three important factors can be observed from the quadratic equation in general form.

The quadratic equation in standard form can also be written as follows. It is also called the general form of a quadratic equation.

QUADRATIC EQUATION IN STANDARD FORM PLUS

The $a$ times $x$ square plus $b$ times $x$ plus $c$ equals to zero is called the standard form of a quadratic equation. However, it can be evaluated by solving the following equation. The literal $x$ represents a variable but its value is unknown here. Let $a$, $b$ and $c$ denote three constants, and they represent the real numbers.