Math Example--Polynomial Concepts--Polynomial Long Division--Example 01

Topic

Polynomials

Description

Determine if (x + 1) is a factor of the polynomial -2x² + x + 3. Perform polynomial long division by dividing -2x² + x + 3 by (x + 1). First, divide the leading term -2x^2 by x to get -2x, and proceed with the subtraction and simplification steps. After repeating the division and subtraction steps, the remainder is 0. Since the remainder is 0, (x + 1) is a factor of -2x² + x + 3.

Polynomial division is a technique used to divide one polynomial by another, breaking down complex expressions into simpler forms. This collection focuses on examples that illustrate polynomial long division, a method crucial in algebraic manipulation and in understanding factorization and remainder determination.

Seeing multiple worked-out examples is essential for students, as it reinforces the steps involved in polynomial division and provides diverse scenarios that strengthen understanding and confidence.

Teacher’s Script: As we explore polynomial division, let's look at this example. In this case, we are dividing using the divisor provided to see if it’s a factor. Follow each step to observe how terms are divided and remainders calculated. Pay attention to how we align terms and subtract accurately.

For a complete collection of math examples related to Polynomials click on this link: Math Examples: Polynomial Long Division Collection.