Add/Subtract 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.

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What are like terms?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Tags

CCSS.6.EE.A.2B

Front

How do you add polynomials?

Back

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

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. For example, in 4x^3 + 2x^2, the degree is 3.

Front

What is the coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 5x^2, 5 is the coefficient.

Tags

CCSS.6.EE.A.2B

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 result of (3x^2 + 2x) + (4x^2 + 5)?

Back

The result is 7x^2 + 2x + 5.

Tags

CCSS.HSA.APR.A.1

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

Back

The result is -x^3 - 5x + 5.

Tags

CCSS.HSA.APR.A.1

Front

What are the steps to add or subtract polynomials?

Back

1. Arrange the polynomials in standard form. 2. Combine like terms by adding or subtracting their coefficients.

Tags

CCSS.HSA.APR.A.1

Front

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

Back

The sum is 6x^2 + 2x.

Tags

CCSS.HSA.APR.A.1