Algebra 2 Semester 1 Final Review

Front

Solve: x² + x + 1 = 0

Back

(-1 ± i√3)/2

Front

How many real solutions does x² - 8x + 16 = 0 have?

Back

1

Front

Factor 9x² - 64

Back

(3x - 8)(3x + 8)

Front

The quadratic whose roots are -3 and 4.

Back

x² - x - 12

Front

What is the value: √-9 ⋅ √-16

Back

-12

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Define a quadratic function.

Back

A polynomial function of the form f(x) = ax² + bx + c, where a ≠ 0.

Front

What is the discriminant in a quadratic equation?

Back

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

Front

How do you determine if a quadratic has real solutions?

Back

If the discriminant (b² - 4ac) is greater than or equal to 0, it has real solutions.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, given by the formula (-b/2a, f(-b/2a)).