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(2x^2 + 6x + 1) + (3x^2 + 3x + 9)

3 answers

To add the polynomials \( (2x^2 + 6x + 1) \) and \( (3x^2 + 3x + 9) \), you can combine like terms.

  1. Combine the \( x^2 \) terms: \[ 2x^2 + 3x^2 = 5x^2 \]

  2. Combine the \( x \) terms: \[ 6x + 3x = 9x \]

  3. Combine the constant terms: \[ 1 + 9 = 10 \]

Putting it all together, the sum of the two polynomials is: \[ 5x^2 + 9x + 10 \]

Thus, the result is \( 5x^2 + 9x + 10 \).

would that still be the same answer If it was in polynomial addition? yes or no

Yes, the answer would still be the same if it was presented as polynomial addition. The process of combining like terms remains consistent in both cases. The final result would still be \( 5x^2 + 9x + 10 \).