Dividing Polynomials by Monomials

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 is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer exponents.

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 12x^5 by 3x^2?

Back

The result is 4x^3.

Front

What is the result of dividing 9x^2 by 3x^2?

Back

The result is 3.

Front

What is the result of dividing -6x by 3x^2?

Back

The result is -2/x.

Front

What is the quotient of (20y^3 - 12y + 2) ÷ 2y?

Back

The quotient is 10y^2 - 6 + 1/y.

Front

What is the degree of a polynomial?

Back

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

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial means combining like terms and reducing 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.