Adding and Subtracting 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?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Tags

CCSS.6.EE.A.2B

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 exponents.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Tags

CCSS.HSA.APR.A.1

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Tags

CCSS.HSA.APR.A.1

Front

What is the degree of a polynomial?

Back

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

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 4x^2, 4 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

Simplify: (3x + 4) + (5x - 2)

Back

8x + 2

Tags

CCSS.7.EE.A.1

Front

Simplify: (2a^2 + 3a) - (a^2 + 2a)

Back

a^2 + a

Tags

CCSS.HSA.APR.A.1

Front

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

Back

4x^2 + x

Tags

CCSS.HSA.APR.A.1