Algebra 2 Final Exam Review

Front

Find the complete factorization of: 4x² - 64y²

Back

(2x - 8y)(2x + 8y)

Front

What is the range of the function f(x) = x² - 1?

Back

[-1, +∞)

Front

Simplify: 2x³ + 5x² + 9 ÷ x + 3

Back

2x² - x + 3

Front

Find the sum: (2x² + 5x - 7) + (3 - 4x² + 6x)

Back

-2x² + 11x - 4

Front

What type of transformation is f(x) = x³ + 7?

Back

Vertical translation up

Front

Define a polynomial function.

Back

A function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the degree of the polynomial 3x⁴ - 5x² + 2?

Back

4

Front

Explain the difference between a rational function and a polynomial function.

Back

A rational function is a ratio of two polynomials, while a polynomial function is a single polynomial.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.