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Home >> Polynomials >> Quadratic Equation >> Standard Form of Quadratic Equation >>

Standard Form of Quadratic Equation

Standard Form of Quadratic Equation Finding roots of Quadratic Equation Discriminant of Quadratic equation

Before you read this topic, you are advised to read:

What are Polynomials ?
What are degrees of Polynomial ?
What are the terms of Algebraic Equation ?

When the terms of a polynomial p(x) is written in descending order of their degrees, then we get the standard form of quadratic equation.

Example:2x2 + 5x + 200 = 0

In the above example you can see that 2x2 having degree of polynomial as 2 is written first and then 5x having degree as 1 and then 200. This way of writing the terms is called as standard form of quadratic equation.

Lets understand this further with the help of following examples:

Example 1: Write the following equation in standard form:
- 4x + 10x2 + 36 = 0

Solution: Write in descending order of their degrees and we get:
10x2 - 4x + 36 = 0



Example 2: Write the following equation in standard form:
- 4 - 7x + 36x2 = 0

Solution: Write in descending order of their degrees and we get:
36x2 - 7x - 4 = 0



Example 3: Write the following equation in standard form:
5x2 - 10 + 6x = 0

Solution: Write in descending order of their degrees and we get:
5x2 + 6x - 10 = 0

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