Polynomials Review

Front

What is a polynomial?

Back

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

Front

What are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 4x^3 + 2x^2 + 5, the degree is 3.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as 2x + 3 or x^2 - 4.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 2x + 1.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

How do you subtract polynomials?

Back

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

Front

What is the perimeter of a triangle in terms of polynomials?

Back

The perimeter of a triangle is the sum of the lengths of its sides, which can be expressed as a polynomial.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in one polynomial by each term in the other.

Front

What is the result of (5x + 2)(x^2 - 3x + 6)?

Back

The result is 5x^3 - 13x^2 + 24x + 12.