Factoring Quadratics

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial 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

Factoring a quadratic equation means expressing it as a product of its linear factors, typically in the form (x - p)(x - q) = 0, where p and q are the solutions.

Front

What are the solutions of the quadratic equation x² + 2x - 15 = 0?

Back

x = -5 or x = 3.

Front

How do you solve n² - 2n = 0 by factoring?

Back

Factor out n: n(n - 2) = 0, so n = 0 or n = 2.

Front

What is the graph of a quadratic function called?

Back

A parabola.

Front

What is the factored form of x² - 10x + 24?

Back

(x - 4)(x - 6).

Front

How do you find the zeros of a quadratic function?

Back

Set the quadratic equation equal to zero and solve for x by factoring, completing the square, or using the quadratic formula.

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 vertex of a parabola?

Back

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

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).