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(4x2+6x−9)+(7x2−11x−8)

2 min read Jun 16, 2024
(4x2+6x−9)+(7x2−11x−8)

Simplifying Polynomial Expressions: (4x² + 6x − 9) + (7x² − 11x − 8)

This article will guide you through the process of simplifying the expression (4x² + 6x − 9) + (7x² − 11x − 8).

Understanding the Basics

Before we begin, let's understand the key concepts involved:

  • Polynomial: An expression consisting of variables and constants combined using addition, subtraction, and multiplication.
  • Terms: Individual components of a polynomial separated by addition or subtraction.
  • Like Terms: Terms that have the same variables raised to the same powers.

Simplifying the Expression

  1. Identify Like Terms:

    • x² terms: 4x² and 7x²
    • x terms: 6x and -11x
    • Constant terms: -9 and -8

  2. Combine Like Terms:

    • x² terms: 4x² + 7x² = 11x²
    • x terms: 6x - 11x = -5x
    • Constant terms: -9 - 8 = -17

  3. Write the Simplified Expression: The simplified form of (4x² + 6x − 9) + (7x² − 11x − 8) is 11x² - 5x - 17.

Conclusion

By understanding the concepts of polynomials, terms, and like terms, we can easily simplify expressions like the one we worked with. This process involves identifying and combining like terms to arrive at a simplified form.

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