Combining polynomials

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, while 3x and 3x^2 are not.

Front

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

Back

The like terms are 3x and -2x.

Front

What is the result of combining the like terms in the expression: 4x^2 + 3x - 2x + 5?

Back

The result is 4x^2 + 1x + 5 or 4x^2 + x + 5.

Front

How do you add polynomials?

Back

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

Front

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

Back

The sum is 6x^2 + 8x.

Front

What is the difference when subtracting polynomials?

Back

When subtracting polynomials, subtract the coefficients of like terms.

Front

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

Back

The result is 3x^2 - x.

Front

What is the perimeter of a triangle with sides represented by the expression 4x + 64?

Back

The perimeter is represented by the expression 4x + 64.

Front

How do you simplify the expression (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)?

Back

The simplified expression is -8n^2 - 8n + 3.

Front

What is the simplified form of 4x^2 - 3x + 11 - 2x?

Back

The simplified form is 4x^2 - 5x + 11.