Dividing Polynomial by Monomial

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^3 - 4x^2 + 3 is a polynomial.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term. It can be a number, a variable, or a product of numbers and variables. For example, 5x^2 is a monomial.

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. Simplify the results.

Front

Back

Front

Back

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial 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. For example, 3x^2 and 5x^2 are 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 polynomial. For example, in 4x^3 - 2x + 7, the degree is 3.

Front

Back

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable and exponent.