12/2 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 constant, a variable, or a product of constants 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

Simplify: (45x^6y^9) / (5x^4y^2)

Back

9x^2y^7

Front

Divide: 8x^2 - 4x + 12 by 2x

Back

4x - 2 + 6/x

Front

Divide: 16x^4 + 8x^3 - 4x^2 by 4x^2

Back

4x^2 + 2x - 1

Front

What is the result of dividing a term with the same base?

Back

When dividing terms with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: (2x^8 - 8x^2 - 28x) / 2x

Back

x^7 - 4x - 14

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 is the leading coefficient of a polynomial?

Back

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