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(4x2-2x+8)+(x2+3x-2)

2 min read Jun 16, 2024
(4x2-2x+8)+(x2+3x-2)

Simplifying Polynomial Expressions: (4x²-2x+8)+(x²+3x-2)

This article will guide you through the process of simplifying the expression (4x²-2x+8)+(x²+3x-2).

Understanding the Expression

The given expression is a combination of two polynomial expressions.

  • (4x²-2x+8): This is a polynomial with three terms:

    • 4x² (quadratic term)
    • -2x (linear term)
    • 8 (constant term)

  • (x²+3x-2): This is also a polynomial with three terms:

    • x² (quadratic term)
    • 3x (linear term)
    • -2 (constant term)

Simplifying the Expression

To simplify the expression, we need to combine like terms.

  1. Identify Like Terms:

    • Quadratic terms: 4x² and x²
    • Linear terms: -2x and 3x
    • Constant terms: 8 and -2

  2. Combine Like Terms:

    • Quadratic terms: 4x² + x² = 5x²
    • Linear terms: -2x + 3x = x
    • Constant terms: 8 - 2 = 6

  3. Write the Simplified Expression: The simplified expression is 5x² + x + 6.

Conclusion

By combining like terms, we simplified the expression (4x²-2x+8)+(x²+3x-2) to 5x² + x + 6. This simplified form is easier to work with in further calculations or analysis.

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