Polynomial Vocabulary & Simplifying Polynomials

Front

What is a polynomial?

Back

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

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

Classify the polynomial 4x^2 + 3x - 5 by the number of terms.

Back

Trinomial

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.

Front

How do you simplify the expression 2x + 3x - 4?

Back

Combine like terms to get 5x - 4.

Front

What is the leading coefficient of the polynomial 7x^3 - 2x^2 + 5?

Back

The leading coefficient is 7, which is the coefficient of the term with the highest degree.

Front

What does it mean to combine like terms in a polynomial?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.