Alg2H Final Exam Review

Front

Fully Factor the Following: 25x² - 81

Back

(5x + 9)(5x - 9)

Front

Solve the inequality without a graph: (x - 3)² ≥ 1

Back

(-∞, 2] U [4, +∞)

Front

Factor by Grouping: x³ - 4x² - 4x + 16

Back

(x - 4)(x - 2)(x + 2)

Front

Assuming the scale is 1, where is f(x) > 0?

Back

(-4, -1) U (2, +∞)

Front

Factor the expression: 8r³ - 16r²

Back

8r²(r - 2)

Front

What is the difference of squares formula?

Back

a² - b² = (a + b)(a - b)

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.

Front

What is the quadratic formula?

Back

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

Front

Explain the concept of factoring by grouping.

Back

A method used to factor polynomials by grouping terms with common factors.

Front

What is the vertex form of a quadratic function?

Back

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