Advanced Algebra Mock Final

Front

What is a zero of a polynomial?

Back

A zero of a polynomial is a value of x that makes the polynomial equal to zero.

Front

How do you find the zeros of a polynomial?

Back

To find the zeros of a polynomial, set the polynomial equal to zero and solve for x.

Front

What is the inverse of a function?

Back

The inverse of a function f(x) is a function that reverses the effect of f, denoted as f^(-1)(x).

Front

How do you find the inverse of f(x) = x^2 - 5?

Back

To find the inverse, solve for x in terms of y: y = x^2 - 5, then switch x and y to get x = y^2 + 5.

Front

What is the solution to the equation 9^(8-x) = 27^(x-3)?

Back

The solution is x = 5.

Front

What does it mean to graph a function?

Back

Graphing a function means plotting its points on a coordinate plane to visualize its behavior.

Front

What is the result of (10 + 3i) - (2 - 9i)?

Back

The result is 8 + 12i.

Front

What is a complex number?

Back

A complex number is a number that has a real part and an imaginary part, expressed as a + bi.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation: x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents combined using addition, subtraction, and multiplication.