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 the degree of a polynomial?

Back

The degree of a polynomial is the highest degree of its individual terms.

Front

What is the degree of the term 2a?

Back

1

Front

What is the degree of the constant 12?

Back

0

Front

What is the degree of the term 5ab²?

Back

3

Front

What is the degree of the polynomial y³ - 8y² + 2y - 16?

Back

3

Front

How do you determine the degree of a term in a polynomial?

Back

To determine the degree of a term, add the exponents of the variables in that term.

Front

What is a constant term in a polynomial?

Back

A constant term is a term that does not contain any variables and has a degree of 0.

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.