Final answer:
A quadratic equation is in standard form when it is written as ax² + bx + c = 0, where a, b, and c are constants and a is not equal to 0. To ensure that a quadratic equation is in its standard form, you can rearrange or manipulate the equation as needed.
Step-by-step explanation:
A quadratic equation is in standard form when it is written as ax² + bx + c = 0, where a, b, and c are constants and a is not equal to 0. The equation should have the variable (usually x) raised to the power of 2. To ensure that a quadratic equation is in its standard form, you can rearrange or manipulate the equation as needed.
For example, if you have an equation like 2x² - 3x + 1 = 0, it is already in standard form. However, if you have an equation like x² + 4x + 2 = 0, you can rearrange it by moving the constant term to the other side of the equation to get x² + 4x = -2.
So, to make sure a quadratic equation is in its standard form, look for any necessary rearrangements or manipulations to get the equation in the form of ax² + bx + c = 0.