Dividing Polynomials

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 and simplify.

Front

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

Back

The result is x^7.

Front

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

Back

The result is 5x^6.

Front

What is the quotient of (24x + 4) / (6x + 1)?

Back

The quotient is 4.

Front

If the area of a rectangle is x^2 + 14x + 40 and the length is x + 4, what is the width?

Back

The width is x + 10.

Front

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

Back

The result is 2x - 7.

Front

What is the degree of the polynomial 2x^8 - 8x^2 - 28x?

Back

The degree is 8, which is the highest exponent of the variable.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.