Naming and Evaluating Polynomials

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of only one term, such as 5x or -3a^2.

Front

What is a binomial?

Back

A binomial is an algebraic expression that consists of two terms, such as 3x + 4 or a^2 - b.

Front

What is a trinomial?

Back

A trinomial is an algebraic expression that consists of three terms, such as x^2 + 5x + 6.

Front

How many terms are in the expression -27a^3 + 9a^2 - 45a?

Back

There are 3 terms in the expression.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the value of f(0) if f(x) = -3x^2 + 5x + 1?

Back

f(0) = 1.

Front

What is the result of combining the like terms 3x + 2x + 3y - 7y?

Back

The result is 5x - 4y.

Front

What is the degree of the polynomial -3x^2 + 5x + 1?

Back

The degree of the polynomial is 2, which is the highest exponent of the variable.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of one or more terms, where each term includes a variable raised to a non-negative integer exponent.

Front

What is the leading coefficient of the polynomial 4x^3 - 2x^2 + 7?

Back

The leading coefficient is 4, which is the coefficient of the term with the highest degree.