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.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you add polynomials?

Back

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

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 a constant term in a polynomial?

Back

A constant term is a term in a polynomial that does not contain any variables. For example, in 2x^2 + 3x + 5, the constant term is 5.

Front

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

Back

1x or x.

Front

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

Back

4x^2 + 2x + 4.

Front

How do you subtract polynomials?

Back

To subtract polynomials, change the signs of the terms in the polynomial being subtracted and then combine like terms.

Front

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

Back

3x^2 - 4x.

Front

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

Back

6x^2 - 2.