Polynomials in Standard Form

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 standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

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 the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is the degree of the polynomial 12 + 5ab^2 + 2a?

Back

The degree of the polynomial is 2, as the term 5ab^2 has the highest degree.

Front

What is the degree of the term 2a?

Back

The degree of the term 2a is 1.

Front

How do you determine the degree of a polynomial?

Back

To determine the degree of a polynomial, identify the term with the highest exponent and that exponent is the degree.

Front

What is the degree of the polynomial 6a^2 + 12a + 14?

Back

The degree of the polynomial is 2, as the term 6a^2 has the highest degree.