Factoring Zero Product Property solving quadratics

Front

What is the Zero Product Property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

What is a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

To express the quadratic equation as a product of its linear factors.

Front

What are the roots of a quadratic equation?

Back

The values of x that make the equation equal to zero.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the y-intercept of a quadratic function?

Back

The point where the graph intersects the y-axis, found by evaluating the function at x = 0.

Front

How do you solve a quadratic equation using factoring?

Back

Set the equation to zero, factor it into two binomials, and then apply the Zero Product Property.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real roots, one real root, or no real roots.