Advanced Algebra - Final Exam Review

Front

What is the result of multiplying (4-4i) and (-3+5i)?

Back

(8 + 32i)

Front

How is the graph of a function translated if it is different from f(x) = x^2?

Back

It is translated 1 unit to the right and 3 units up.

Front

What is the degree and leading coefficient of the polynomial 4x^3 + x - 5x^2 - x^6 + 8?

Back

Degree: 6, Leading coefficient: -1

Front

What is the simplified form of the expression i^{39}?

Back

-i

Front

Write the equation of the polynomial in standard form with the zeros {-2, -4, 3}.

Back

x^3 + 3x^2 - 10x - 24 = 0

Front

What is the definition of a polynomial function?

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_{n-1}*x^{n-1} + ... + a_1*x + a_0, where a_n, a_{n-1}, ..., a_0 are constants and n is a non-negative integer.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, i.e., i = √(-1).

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 the variable.