Math 2 Final Review (S1)

Front

What is the solution to the equation (x + 3)² = 36?

Back

x = -9 and x = 3

Front

What is the quadratic formula used to solve equations of the form ax² + bx + c = 0?

Back

The quadratic formula is x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}.

Front

How do you simplify the expression (x² - 1)(x + 1)?

Back

The simplified expression is x³ - 1.

Front

What is the first step in solving the quadratic equation 3x² - 10x + 1 = 0 by factoring?

Back

Factor the equation into the form (ax + b)(cx + d) = 0.

Front

What does it mean to solve an equation using the quadratic formula?

Back

It means to find the values of x that satisfy the equation by substituting a, b, and c into the formula.

Front

What is the value of the discriminant in the quadratic formula and what does it indicate?

Back

The discriminant is b² - 4ac; it indicates the nature of the roots (real and distinct, real and equal, or complex).

Front

How do you set up the equation to use the quadratic formula for x² + 4x - 40 = -8?

Back

Rearrange to x² + 4x + 32 = 0.

Front

What are the roots of the equation x² + 4x - 40 = -8?

Back

The roots are x = -8 and x = 4.

Front

What is the process of factoring a quadratic equation?

Back

Finding two binomials that multiply to give the original quadratic equation.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.