Dividing Polynomials by Monomials

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 a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial separately.

Front

What is the result of dividing 2x^8 by 2x?

Back

The result is x^7.

Front

What is the result of dividing 15x^9 by 3x^3?

Back

The result is 5x^6.

Front

What is the result of dividing 45x^6y^9 by 5x^4y^2?

Back

The result is 9x^2y^7.

Front

What is the result of dividing 25x^5 by 5x^3?

Back

The result is 5x^2.

Front

What does it mean to simplify a polynomial expression?

Back

Simplifying a polynomial expression means to combine like terms and reduce the expression to its simplest form.

Front

What are like terms in a polynomial?

Back

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

Front

What is the degree of a polynomial?

Back

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