Flashcard 19 Practice- Quadratic Formula

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does the 'c' value represent in a quadratic equation?

Back

The 'c' value represents the constant term in the quadratic equation, which is the value of the function when x = 0.

Front

How do you identify the leading coefficient in a quadratic equation?

Back

The leading coefficient is the coefficient of the x² term in the quadratic equation in standard form.

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.

Front

What is the discriminant in the context of the Quadratic Formula?

Back

The discriminant is the part of the Quadratic Formula under the square root, b² - 4ac, which determines the nature of the roots.

Front

What does it mean if the discriminant is positive?

Back

If the discriminant is positive, the quadratic equation has two distinct real roots.

Front

What does it mean if the discriminant is zero?

Back

If the discriminant is zero, the quadratic equation has exactly one real root (a repeated root).

Front

What does it mean if the discriminant is negative?

Back

If the discriminant is negative, the quadratic equation has no real roots, but two complex roots.

Front

How do you solve a quadratic equation using the Quadratic Formula?

Back

To solve a quadratic equation using the Quadratic Formula, identify a, b, and c from the equation, then substitute these values into the formula.

Front

What are the steps to rearranging a quadratic equation into standard form?

Back

To rearrange a quadratic equation into standard form, move all terms to one side of the equation so that it equals zero.