Adding and Subtracting Polynomials

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers, 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. For example, 3x and 5x are like terms, while 3x and 3x^2 are not.

Front

Combine like terms: 5x + 3x + 2y - 4y.

Back

8x - 2y.

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 - x, the degree is 3.

Front

Add the polynomials: (x + 2) + (3x - 5).

Back

4x - 3.

Front

Subtract the polynomials: (5x^2 + 3x) - (2x^2 + x).

Back

3x^2 + 2x.

Front

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

Back

3x^2 + 2x + 5.

Front

Combine like terms: 7a + 2b - 3a + 4b.

Back

4a + 6b.

Front

What is the sum of (4x^3 - 2x + 1) and (2x^3 + 3x - 5)?

Back

6x^3 + x - 4.

Front

Identify the like terms in the expression: 3x^2 + 4x - 2x^2 + 5.

Back

3x^2 and -2x^2 are like terms.