Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.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 a polynomial.

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 a monomial?

Back

A monomial is a polynomial with only one term.

Tags

CCSS.HSA.APR.A.1

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Tags

CCSS.HSA.APR.C.5

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Tags

CCSS.HSA.APR.A.1

Front

What is the greatest common factor (GCF) of a polynomial?

Back

The GCF of a polynomial is the largest polynomial that divides all terms of the polynomial without leaving a remainder.

Tags

CCSS.HSA.SSE.A.2

Front

How do you classify polynomials based on their degree?

Back

Polynomials can be classified as constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), and so on.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is the difference between a polynomial and a non-polynomial expression?

Back

A polynomial consists of terms with non-negative integer exponents, while non-polynomial expressions may include negative exponents, fractions, or variables in the denominator.