Adding 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 are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Tags

CCSS.6.EE.A.2B

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable parts the same.

Tags

CCSS.HSA.APR.A.1

Front

What is the degree of a polynomial?

Back

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

Front

What is the coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial, representing how many times the variable is multiplied.

Tags

CCSS.6.EE.A.2B

Front

How do you simplify a polynomial expression?

Back

To simplify a polynomial expression, combine like terms and arrange the terms in descending order of their degrees.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

What is the result of adding (3x^2 + 2x) and (4x^2 - x)?

Back

The result is 7x^2 + x.

Tags

CCSS.HSA.APR.A.1

Front

How do you identify the leading term of a polynomial?

Back

The leading term of a polynomial is the term with the highest degree when the polynomial is written in standard form.

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.