[Algebra 2] Solving Quadratics (Factoring, Square Root, & Completing the Square)

Front

What are the zeros of the quadratic equation x^2 - 5x + 6 = 0?

Back

The zeros are x = 2 and x = 3.

Front

Define 'roots' in the context of quadratic equations.

Back

Roots are the values of x that make the quadratic equation equal to zero.

Front

Solve the quadratic equation x^2 + 7x + 10 = 0.

Back

The solutions are x = -2 and x = -5.

Front

What is the quickest method to solve the equation x^2 - 49 = 0?

Back

The quickest method is the Square Root method.

Front

Solve the equation x^2 - 6x + 9 = 0 using factoring.

Back

The solutions are x = 3 (double root).

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

Identify the y-intercept of the quadratic function f(x) = x^2 - 4x + 3.

Back

The y-intercept is (0, 3).

Front

What does it mean if a quadratic has no real solutions?

Back

It means the discriminant (b² - 4ac) is less than zero.

Front

Solve the quadratic equation x^2 + 4x + 4 = 0 by completing the square.

Back

The solution is x = -2 (double root).

Front

What is the discriminant in the quadratic equation ax^2 + bx + c = 0?

Back

The discriminant is b² - 4ac, which determines the nature of the roots.