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What is the result of adding the polynomials (2x^2 + 3x + 4) and (3x^2 - x + 2)?

Practice Questions

Q1
What is the result of adding the polynomials (2x^2 + 3x + 4) and (3x^2 - x + 2)?
  1. 5x^2 + 2x + 6
  2. 5x^2 + 4x + 6
  3. 5x^2 + 3x + 6
  4. 5x^2 + 3x + 4

Questions & Step-by-Step Solutions

What is the result of adding the polynomials (2x^2 + 3x + 4) and (3x^2 - x + 2)?
  • Step 1: Write down the two polynomials you want to add: (2x^2 + 3x + 4) and (3x^2 - x + 2).
  • Step 2: Group the like terms together. The like terms are those with the same power of x.
  • Step 3: Identify the like terms: For x^2 terms, we have 2x^2 and 3x^2. For x terms, we have 3x and -x. For constant terms, we have 4 and 2.
  • Step 4: Add the coefficients of the like terms: 2x^2 + 3x^2 = 5x^2, 3x - x = 2x, and 4 + 2 = 6.
  • Step 5: Combine the results from Step 4 to form the final polynomial: 5x^2 + 2x + 6.
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