Standard Form
The very first aspect that we must do when given a quadratic equation is to put it in standard form.
Standard Form
Standard form has a specific equation to it. In standard form, we need to set our quadratic equation equal to 0. Remember that a quadratic equation has to have the variable x^2 (x squared) and x^2 has to be the largest exponent in the equation. The equation must have x squared to be considered a quadratic equation.
*a, b, and c are the coefficients (the number in front of the variable) in the equation
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*b and c can be any value
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*a can not be 0
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*a is always paired with x^2 *b is paired with x
*c is not paired with any variable
Let's try a few examples
Sometimes equations do not look like quadratics. This is why we try to put equations in standard form to see if they are quadratics. Below you will see a few examples on how to manipulate equations to be put in standard form.
Original
Standard
Form
a, b, and c
value
Set equation equal to 0 by moving terms to the left side of the equation.
a=1
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b=-3
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c=2
Set the equation equal to 0 by moving terms to left side. Use the distributive property to distribute 5 on the left hand side.
a = 5
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b = - 1
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c = 15
Set the equation equal to 0 by moving terms to left side. Use the distributive property to distribute x on the left hand side.
a = 2
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b = 2
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c = 2
Click the button on the right to see some flashcards on "a" "b" and "c" values.
Below is an informative video on how to put quadratic equations in standard form.
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Class Code:
Q73NMA
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