Math Example--Polynomial Concepts--Polynomial Long Division--Example 09

Topic

Polynomials

Description

Determine if (x - 2) is a factor of the polynomial x³ - 5x² + 9x - 6. Use polynomial long division to divide x³ - 5x² + 9x - 6 by (x - 2). Divide x³ by x to get x²2, then follow with subtraction and simplification steps. Continue the division steps until the remainder is 0. Since the remainder is 0, (x - 2) is a factor of x³ - 5x² + 9x - 6.

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.