Adding and Subtracting 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.

Front

What are like terms?

Back

Like terms are terms in a polynomial 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 part the same.

Tags

CCSS.HSA.APR.A.1

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x or 5a^2.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as x + 5 or 3a^2 - 2b.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, such as x^2 + 3x + 2.

Front

Simplify the expression: (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)

Back

11a^3 - 4a^2 - 14a - 7.

Tags

CCSS.HSA.APR.A.1

Front

Combine like terms: (5x + 2) + (4x + 5)

Back

9x + 7.

Tags

CCSS.7.EE.A.1

Front

Add the polynomials: (x - 2) and (x^2 + 3)

Back

x^2 + x + 1.

Tags

CCSS.HSA.APR.A.1

Front

Add or Subtract to Simplify: (4x - 2x^3) + (5x^3 - 4x + 5)

Back

3x^3 + 5.

Tags

CCSS.HSA.APR.A.1