Adding Polynomials

Front

What are like terms in polynomials?

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 4x^2 are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in 5x + 2x, you combine to get 7x.

Front

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

Back

9x + 7

Front

What is the result of (4x^3 - 5x^2 + 3x) + (-2x^3 - x^2 + 6x)?

Back

2x^3 - 6x^2 + 9x

Front

What is the result of (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)?

Back

11a^3 - 4a^2 - 14a - 7

Front

How do you distribute in the expression -3(x - 4)?

Back

Distributing gives -3x + 12.

Front

What is the result of (2x + 5y - z) + (-6x - 4y + 7z)?

Back

-4x + y + 6z

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x + 1 is a polynomial.

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 + 5, the degree is 3.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in 3x^4 + 2x^3, the leading coefficient is 3.