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.

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 16x^4 + 8x^3 - 4x^2 by 4x^2?

Back

4x^2 + 2x - 1

Front

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

Back

5x^2

Front

What is the result of dividing 8x^2 - 4x + 12 by 2x?

Back

4x - 2 + 6/x

Front

What is the result of dividing 2x^8 - 8x^2 - 28x by 2?

Back

x^8 - 4x^2 - 14x

Front

What is the result of dividing 15x^9 - 8x^3 by 3?

Back

5x^9 - (8/3)x^3

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 a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.