Test 3.1-3.3 Review # 1 Solving Quadratics- All Methods

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

How do you solve the quadratic equation x² + 2x - 24 = 0?

Back

Factor the equation: (x + 6)(x - 4) = 0. The solutions are x = -6 and x = 4.

Front

What is the solution to the equation 16a² - 9 = 0?

Back

The solutions are a = -3/4 and a = 3/4.

Front

True or False: The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

Back

True.

Front

How do you complete the square for the equation x² + 6x = 5?

Back

Rewrite as (x + 3)² = 14.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means expressing it as a product of two binomials.

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

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac. It determines the nature of the roots.

Front

What are the possible outcomes of the discriminant?

Back

If the discriminant is positive, there are two real roots; if zero, one real root; if negative, two complex roots.

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.