Add and Subtract Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (3x + 4) or (5y - 2).

Front

How do you add binomials?

Back

To add binomials, combine like terms by adding the coefficients of the same variable. For example, (2x + 3) + (4x + 5) = (2x + 4x) + (3 + 5) = 6x + 8.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, but 3x and 4y are not.

Front

Simplify: (2x + 3) + (5x + 7)

Back

7x + 10

Front

What is the result of (a + b) + (c + d)?

Back

The result is (a + b + c + d), combining all terms.

Front

How do you subtract binomials?

Back

To subtract binomials, distribute the negative sign and then combine like terms. For example, (5x + 3) - (2x + 1) = (5x - 2x) + (3 - 1) = 3x + 2.

Front

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

Back

x - 9

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

Combine: (x + 2) + (3x - 5)

Back

4x - 3

Front

What is a polynomial?

Back

A polynomial is an expression that consists of variables raised to non-negative integer powers and their coefficients, such as 2x^2 + 3x + 1.