Dividing Polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial, similar to long division with numbers.

Front

What is a factor of a polynomial?

Back

A factor of a polynomial is a polynomial that divides the original polynomial without leaving a remainder.

Front

How can you determine if (x - 3) is a factor of 3x^3 + 10x^2 - x - 12?

Back

You can use synthetic division or the Remainder Theorem. If the remainder is 0, then (x - 3) is a factor.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.

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

Divide: (4x^2 - 24x + 35) / (2x - 5)

Back

2x - 7

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

x + 10

Front

What is the missing term in the polynomial division 2x^3 + 5x^2 + 9 ÷ (x + 3)?

Back

x

Front

Find the quotient when (21x^2 - 52x + 32) is divided by (7x - 8).

Back

3x - 4