Unit 7 - Solving Quadratic Equations

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in 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

Factoring a quadratic equation involves rewriting it as a product of two binomials, allowing us to find its roots or solutions.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the quadratic formula?

Back

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

Front

How do you find the roots of a quadratic equation by factoring?

Back

To find the roots by factoring, set the equation to zero, factor it into binomials, and then set each binomial equal to zero.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that divides two or more numbers or terms.

Front

How do you solve the equation x² - 11x + 24 = 0 by factoring?

Back

Factor to (x - 3)(x - 8) = 0, giving roots x = 3 and x = 8.

Front

What is the solution to the equation (x + 2)(x - 3) = 0?

Back

The solutions are x = -2 and x = 3.

Front

What does it mean to complete the square?

Back

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form (x - p)² = q.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.