Dividing Polynomials

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

What is the result of dividing 9x² + 6x by 3x?

Back

The result is 3x + 2.

Front

What is the result of dividing 15x⁹ - 8x³ by 3x³?

Back

The result is 5x⁶ - rac{8}{3}.

Front

What is the result of dividing 2x⁸ - 8x² - 28x by 2x?

Back

The result is x⁷ - 4x - 14.

Front

What is the result of dividing (4x² - 24x + 35) by (2x - 5)?

Back

The result is 2x - 7.

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.

Front

What does it mean to simplify a polynomial?

Back

To simplify a polynomial means to combine like terms and express it in its simplest form.