Changing a quadratic equation into standard form is easier than it sounds!
The standard form of a quadratic equation looks like this:
( ax^2 + bx + c = 0 )
In this equation, ( a ), ( b ), and ( c ) are just numbers (we call them constants).
Let's break down the steps on how to do this:
Start with the original equation: You want to begin with something like ( ax^2 + bx + c = d ). Make sure all your terms are on the left side.
Rearrange it: Move everything over to one side by subtracting ( d ) from both sides. This way, your equation will look like ( ax^2 + bx + c - d = 0 ). Now you have zero on one side!
Combine like terms: If you have constants that can be combined (like ( c - d )), do that now. This makes your quadratic equation cleaner.
Identify ( a ), ( b ), and ( c ): Once you’ve rearranged the equation, the numbers in front of the terms will help you solve it or graph it later!
And that's it! Now you’re ready to work with your quadratic equation in standard form!
Changing a quadratic equation into standard form is easier than it sounds!
The standard form of a quadratic equation looks like this:
( ax^2 + bx + c = 0 )
In this equation, ( a ), ( b ), and ( c ) are just numbers (we call them constants).
Let's break down the steps on how to do this:
Start with the original equation: You want to begin with something like ( ax^2 + bx + c = d ). Make sure all your terms are on the left side.
Rearrange it: Move everything over to one side by subtracting ( d ) from both sides. This way, your equation will look like ( ax^2 + bx + c - d = 0 ). Now you have zero on one side!
Combine like terms: If you have constants that can be combined (like ( c - d )), do that now. This makes your quadratic equation cleaner.
Identify ( a ), ( b ), and ( c ): Once you’ve rearranged the equation, the numbers in front of the terms will help you solve it or graph it later!
And that's it! Now you’re ready to work with your quadratic equation in standard form!