Adding and Subtracting 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?

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.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

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.

Front

Simplify: (2x + 3) + (4x - 5)

Back

6x - 2.

Front

Simplify: (x^2 + 2x) - (3x^2 - x)

Back

-2x^2 + 3x.

Front

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

Back

5x^2 + x.

Front

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

Back

5x^2 and -2x^2 are like terms.