To demonstrate polynomial addition correctly, we need to combine like terms from the polynomials being added.
Let's compute \( (2x^2 + 6x + 1) + (3x^2 + 3x + 9) \):
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Add the \(x^2\) terms: \( 2x^2 + 3x^2 = 5x^2 \)
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Add the \(x\) terms: \( 6x + 3x = 9x \)
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Add the constant terms: \( 1 + 9 = 10 \)
Putting this together, we have: \[ (2x^2 + 6x + 1) + (3x^2 + 3x + 9) = 5x^2 + 9x + 10 \]
Thus, the correct answer is D, which shows the correct result of the polynomial addition: \[ (2x^2 + 6x + 1) + (3x^2 + 3x + 9) = 5x^2 + 9x + 10 \]
1 answer