Math Example--Polynomial Concepts--Polynomial Long Division--Example 07

Topic

Polynomials

Description

Determine if (x + 4) is a factor of the polynomial -x² - 3x + 9.. Perform polynomial long division by dividing -x² - 3x + 9 by (x + 4). Divide the leading term -x² by x to get -x, and continue with subtraction and simplification. After the division, the remainder is 5, so (x + 4) is not a factor of -x² - 3x + 9.

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.