Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. It can be expressed in the form: 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.

Front

What does the FOIL method stand for?

Back

FOIL stands for First, Outside, Inside, Last. It is a method used to multiply two binomials.

Front

Use the FOIL method to multiply: (x + 2)(x + 3)

Back

x^2 + 5x + 6

Front

How do you classify a polynomial by degree?

Back

The degree of a polynomial is determined by the highest power of the variable in the expression. For example, a polynomial with a highest power of 3 is called a cubic polynomial.

Front

Classify the polynomial 3x^3 - 6x by degree.

Back

Cubic

Front

What is the result of subtracting the polynomials (7p + 4p^3 - 8) - (-3p^2 + 2 - 9p)?

Back

4p^3 + 3p^2 + 16p - 10

Front

What is the process of subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

Front

Use the distributive property to multiply: (4a + 2)(6a^2 - a + 2)

Back

24a^3 + 8a^2 + 6a + 4

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 2) or (3a^2 - 5b).

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms, such as (x^2 + 3x + 2).