Algebra 2 Unit 4 Review

Front

What is polynomial long division?

Back

A method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

Front

What is the Remainder Theorem?

Back

If a polynomial f(x) is divided by (x - c), the remainder of this division is f(c).

Front

How do you determine if (x - c) is a factor of a polynomial?

Back

If f(c) = 0, then (x - c) is a factor of the polynomial f(x).

Front

What is synthetic division?

Back

A simplified form of polynomial division that is used when dividing by a linear factor of the form (x - c).

Front

What is the Factor Theorem?

Back

It states that (x - c) is a factor of a polynomial f(x) if and only if f(c) = 0.

Front

What is the difference between a factor and a remainder?

Back

A factor divides the polynomial evenly (remainder is 0), while a remainder is what is left over after division.

Front

What is the standard form of a polynomial?

Back

A polynomial is in standard form when its terms are written in descending order of their degree.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is a cubic polynomial?

Back

A polynomial of degree 3, which can be expressed in the form f(x) = ax^3 + bx^2 + cx + d.

Front

What is the process to factor a difference of cubes?

Back

The difference of cubes can be factored using the formula a^3 - b^3 = (a - b)(a^2 + ab + b^2).