Midterm Algebra 2

Front

Factor: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

Factor: x^2 + 12x + 36

Back

(x + 6)(x + 6)

Front

Which function defines the graph? f(x) = |x - 4| + 3, f(x) = |x - 3| + 4, f(x) = |-x + 4| + 3, f(x) = |x + 4| + 3

Back

f(x) = |x + 4| + 3

Front

Does the relation below represent a function? Yes because none of the independent values repeat. No because at least one independent value repeats. Yes because none of the dependent values repeat. No because at least one dependent value repeats.

Back

No because at least one independent value repeats.

Front

Definition: Polynomial

Back

A mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

Definition: Quadratic Function

Back

A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

Definition: Factoring

Back

The process of breaking down an expression into a product of simpler factors.

Front

Definition: Absolute Value Function

Back

A function that returns the non-negative value of a number, defined as f(x) = |x|.

Front

Definition: Function

Back

A relation that assigns exactly one output for each input.

Front

Example: Solve for x in the equation x^2 - 5x + 6 = 0

Back

x = 2 or x = 3 (factored as (x - 2)(x - 3) = 0).