Add and Subtract Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists 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

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.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as x + 2 or 3a^2 - 4b.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, such as x^2 + 3x + 2.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract the coefficients of terms that have the same variable and exponent.

Front

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

Back

The result is 6x^2 + 8x.