L3.1 - Degree and classify 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 monomial?

Back

A monomial is a polynomial with only one term, such as 5x or 3y².

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x² + 2x + 1.

Front

How do you classify a polynomial by degree?

Back

The degree of a polynomial is the highest exponent of its variable. For example, in 4x² + 3x + 1, the degree is 2.

Front

What is the degree of the polynomial 5x³ + 2x² - x + 7?

Back

The degree is 3, as the highest exponent is 3.

Front

Classify the polynomial 2x² + 3x - 5 by the number of terms.

Back

It is a trinomial because it has three terms.

Front

Classify the polynomial 7x by the number of terms.

Back

It is a monomial because it has one term.

Front

Classify the polynomial 4x + 9 by the number of terms.

Back

It is a binomial because it has two terms.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of degrees, such as ax^n + bx^(n-1) + ... + c.