Algebra 2: Final Exam Review

Front

Solve the quadratic equation: 2x² - 5x = 1

Back

x = 1, x = 2

Front

Simplify the complex expression: (2 + 4i)(3 + 5i)

Back

-14 + 22i

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

Define a polynomial function.

Back

A function that is represented by a polynomial expression, which is a sum of terms consisting of a variable raised to a non-negative integer power.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b² - 4ac and determines the nature of the roots.

Front

Solve for x: x² - 4x + 4 = 0

Back

x = 2 (double root)

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Front

Simplify: (x + 2)(x - 3)

Back

x² - x - 6

Front

What is a rational function?

Back

A function that can be expressed as the ratio of two polynomials.

Front

Define imaginary numbers.

Back

Numbers that can be written as a real number multiplied by the imaginary unit i, where i² = -1.