Math Example--Polynomial Concepts--Polynomial Long Division--Example 06

Topic

Polynomials

Description

Determine if (x - 4) is a factor of the polynomial -2x² + 10x - 7.. Divide -2x² + 10x - 7 by (x - 4) using polynomial long division. Divide the leading term -2x² by x to get -2x and proceed with subtraction and simplification. After performing the steps, the remainder is 1, indicating that (x - 4) is not a factor of -2x² + 10x - 7.

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.