Polynomial Addition and Subtraction Math Example 1

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Example 1

easy
Add (3x2+5x−2)+(x2−3x+7)(3x^2 + 5x - 2) + (x^2 - 3x + 7).

Solution

  1. 1
    Step 1: Group like terms: (3x2+x2)+(5x−3x)+(−2+7)(3x^2 + x^2) + (5x - 3x) + (-2 + 7).
  2. 2
    Step 2: Combine: 4x2+2x+54x^2 + 2x + 5.
  3. 3
    Check: At x=1x = 1: (3+5−2)+(1−3+7)=6+5=11(3+5-2) + (1-3+7) = 6 + 5 = 11 and 4+2+5=114+2+5 = 11 ✓

Answer

4x2+2x+54x^2 + 2x + 5
To add polynomials, combine like terms — terms with the same variable raised to the same power. The coefficients are added while the variable parts stay the same.

About Polynomial Addition and Subtraction

Adding or subtracting polynomials by combining like terms—terms with the same variable raised to the same power.

Learn more about Polynomial Addition and Subtraction →

More Polynomial Addition and Subtraction Examples

Example 2 medium

Subtract [formula].

Example 3 easy

Add [formula].

Example 4 hard

Simplify [formula].

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