Basic Polynomials-Classify and Combine CFA

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, combined using addition, subtraction, and multiplication.

Front

How do you classify a polynomial by its degree?

Back

The degree of a polynomial is the highest power of the variable in the expression. Polynomials can be classified as constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), and so on.

Front

What is a monomial?

Back

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

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

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

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of degrees, from the highest degree to the lowest.

Front

Classify the polynomial: 4x^3 - 2x + 1.

Back

Cubic Trinomial.