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

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

Options:

Correct Answer: 5x^2 + 4x + 6

Solution:

When adding the polynomials, combine like terms: (2x^2 + 3x + 4) + (3x^2 - x + 2) = 5x^2 + 2x + 6.

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

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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