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 does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Tags

CCSS.HSA.APR.A.1

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves distributing the negative sign to the terms of the polynomial being subtracted and then combining like terms.

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, such as 3x and 5x.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same.

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 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

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

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

Back

Combine like terms: (3x^2 + 4x^2) + (2x + 5x) = 7x^2 + 7x.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of subtracting (5x^2 + 3x - 2) from (2x^2 + 4x + 1)?

Back

(2x^2 + 4x + 1) - (5x^2 + 3x - 2) = -3x^2 + x + 3.

Tags

CCSS.HSA.APR.A.1