Intro to 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 a binomial?

Back

A binomial is a polynomial that has exactly two terms.

Front

What is a monomial?

Back

A monomial is a polynomial that has exactly one term.

Front

What is a constant in the context of polynomials?

Back

A constant is a term in a polynomial that has no variable, represented by a fixed number.

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 5x^3 + 2x - 1 by the number of terms.

Back

This polynomial is a trinomial because it has three terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial that has exactly three terms.

Front

Identify the type of polynomial: 4x^2 + 7.

Back

This is a binomial because it has two terms.

Front

What is the leading coefficient of the polynomial 3x^4 + 2x^2 - 5?

Back

The leading coefficient is 3, which is the coefficient of the term with the highest degree.

Front

How do you determine the degree of the polynomial 2x^5 - 3x^3 + x?

Back

The degree is determined by the term with the highest exponent, which is 5 in this case.