Simplifying 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 is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

Simplify: 2x + 3x

Back

5x

Front

What does it mean to simplify a polynomial?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify: 4x^2 + 3x^2

Back

7x^2

Front

What is the coefficient in the term 5x^3?

Back

The coefficient is 5.

Front

Simplify: 6x + 4 - 2x + 3

Back

4x + 7

Front

What is the constant term in the polynomial 3x^2 + 2x + 5?

Back

The constant term is 5.

Front

Combine the like terms: 7x + 2 - 3x + 5

Back

4x + 7