I have gathered some common "Standard Form"s here for you..
Note: Standard Form is not the "correct form", just a handy agreed-upon style. You may find some other form to be more useful.
In Britain this is another name for Scientific Notation, where you write down a number this way:
In this example, 5326.6 is written as 5.3266 × 10 3 ,
because 5326.6 = 5.3266 × 1000 = 5.3266 × 10 3
In other countries it means "not in expanded form" (see Composing and Decomposing Numbers):
| 561 | 500 + 60 + 1 |
| Standard Form | Expanded Form |
The "Standard Form" of an equation is:
(some expression) = 0
In other words, "= 0" is on the right, and everything else is on the left.
The "Standard Form" for writing down a polynomial is to put the terms with the highest degree first (like the "2" in x 2 if there is one variable).
The highest degree is 6, so that goes first, then 3, 2 and then the constant last:
x 6 + 4x 3 + 3x 2 − 7
Also, within each term, it is nice to have the variables in alphabetical order (if it does not make things more confusing):
The highest degree is 3, so that goes first, also put the variables in alphabetical order
4x 3 y + 3x 2 yz
The "Standard Form" for writing down a Linear Equation is
A shouldn't be negative, A and B shouldn't both be zero, and A, B and C should be integers.
Bring 3x to the left:
Multiply all by −1:
Note: A = 3, B = −1, C = −2
is sometimes called "Standard Form", but is more properly called the "General Form".
The "Standard Form" for writing down a Quadratic Equation is
(a not equal to zero)
Bring 3 to left:
Note: a = 1, b = −1, c = −3
With a circle like this:
The Standard Form is this:
(x−a) 2 + (y−b) 2 = r 2
See Circle Equations for more details.