Add and Subtract 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 does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions to form a new polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves taking the difference between two polynomial expressions by combining like terms after distributing the negative sign.

Tags

CCSS.HSA.APR.A.1

Front

What are like terms in polynomials?

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 combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

Tags

CCSS.7.EE.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 polynomial expression.

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

How do you simplify the expression (3x + 4) + (2x - 5)?

Back

Combine like terms: (3x + 2x) + (4 - 5) = 5x - 1.

Tags

CCSS.7.EE.A.1

Front

What is the result of (5x - 2) - (3x + 4)?

Back

Distribute the negative sign: 5x - 2 - 3x - 4 = 2x - 6.

Tags

CCSS.HSA.APR.A.1

Front

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

Back

Combine like terms: (2x^2 + 4x^2) + (3x - x) = 6x^2 + 2x.

Tags

CCSS.HSA.APR.A.1