Jasonbradley
Home

(-2k^3-7k^2+5k)+(6k^2+3k)

2 min read Jun 16, 2024
(-2k^3-7k^2+5k)+(6k^2+3k)

Simplifying Polynomial Expressions

This article will guide you through the process of simplifying the polynomial expression: (-2k^3 - 7k^2 + 5k) + (6k^2 + 3k)

Understanding the Process

To simplify this expression, we'll use the following steps:

  1. Identify like terms: Terms with the same variable and exponent are considered like terms. For example, -7k² and 6k² are like terms.
  2. Combine like terms: Add or subtract the coefficients of like terms.

Applying the Steps

Let's break down the expression and combine like terms:

  • -2k³: There are no other terms with k³ in the expression, so this term remains unchanged.
  • -7k² + 6k²: Combining the coefficients, we get -1k², which simplifies to -k².
  • 5k + 3k: Combining the coefficients, we get 8k.

The Simplified Expression

Therefore, the simplified form of the expression (-2k³ - 7k² + 5k) + (6k² + 3k) is -2k³ - k² + 8k.

Key Takeaways

  • Like terms: Remember to identify like terms before combining them.
  • Coefficients: Combine the coefficients of like terms to simplify the expression.
  • Order: While not necessary, it's common to write polynomials in descending order of exponents.

Related Post

Featured Posts