Solving Quadratic Equations by Factoring

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

Solve the equation: (x-3)(x+2)=0

Back

x = 3 or x = -2.

Front

What is the first step in solving the equation x^2 + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

Solve for x: (x + 2)(x - 3) = 0

Back

x = -2 or x = 3.

Front

What is the axis of symmetry for a parabola with x-intercepts at (-4,0) and (2,0)?

Back

x = -1.

Front

What does it mean to factor a quadratic equation?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.

Front

How do you find the x-intercepts of a quadratic equation?

Back

Set the equation equal to zero and solve for x.

Front

What is the significance of the vertex in a parabola?

Back

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

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).