Convert Intercept Form to Standard Form
We can easily convert the vertex form of a quadratic equation into the standard form by simply solving (x – p)(x – q) = 0 and simplifying.
Let us consider the above example (3x -2)(x – 2) = 0 and convert it back into standard form.
(3x -2)(x – 2) = 0 (Intercept Form)
⇒ 3x2 – 6x – 2x + 4 = 0
⇒ 3x2 – 8x + 4 = 0…(i) (Standard Form)
Equation (i) is the required standard form of the quadratic form.
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Standard Form of Quadratic Equation
Standard Form of the Quadratic Equation is ax2 + bx + c = 0, where a, b, and c are constants and x is a variable. Standard Form is a common way of representing any notation or equation. Quadratic equations can also be represented in other forms as,
- Vertex Form: a(x – h)2 + k = 0
- Intercept Form: a(x – p)(x – q) = 0
In this article we will learn about the standard form of the quadratic equation, changing it into the standard form of the quadratic equation and others in detail.