Adding & Subtracting 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, change the signs of the terms in the polynomial being subtracted 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 the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

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

Back

x^2 + x + 1

Front

Simplify: 4x^2 - 3x + 11 - 2x

Back

4x^2 - 5x + 11

Front

Simplify: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is the sum of the polynomials 2x^2 + 3x and 4x^2 - x?

Back

6x^2 + 2x