Adding Polynomials 9S

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 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 while keeping the variable part the same.

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

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

Back

6x - 2.

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

Combine like terms: 3x + 4x - 2 + 5

Back

7x + 3.

Front

What is the constant term in a polynomial?

Back

The constant term is the term in a polynomial that does not contain any variables. For example, in 2x^2 + 3x + 5, the constant term is 5.

Front

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

Back

4x^2 + x.

Front

What does it mean to simplify a polynomial?

Back

To simplify a polynomial means to combine like terms and express the polynomial in its simplest form.