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 15x^9 - 8x^3 by 3x^3?

Back

The result is 5x^6 - rac{8}{3}.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width.

Front

If the area of a rectangular pool table 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 remainder theorem?

Back

The remainder theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Front

What is the result of dividing (9x^2 + 6x) by 3x?

Back

The result is 3x + 2.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c).

Front

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

Back

The result is 2x - 7.