Adding/Subtracting Polynomials

Front

What is the first step when adding two polynomials?

Back

Identify Like Terms.

Front

Simplify the expression: (x^3 - x^2 + 4) - (3x^3 - 2x^2 + 3)

Back

-2x^3 + x^2 + 1.

Front

Combine like terms to simplify: (5x + 2) + (4x - 5)

Back

9x - 3.

Front

What is one difference between adding and subtracting polynomials?

Back

Using the distributive property.

Front

Simplify the expression: (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)

Back

-8n^2 - 8n + 3.

Front

What are like terms in polynomials?

Back

Terms that have the same variable raised to the same power.

Front

What is a polynomial?

Back

An expression consisting of variables, coefficients, and exponents combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The highest power of the variable in the polynomial.

Front

What does it mean to combine like terms?

Back

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

Front

What is the distributive property?

Back

a(b + c) = ab + ac, used to multiply a single term by multiple terms in parentheses.