To correctly demonstrate polynomial addition, we need to add the coefficients of the same degree.
Let's perform the addition for the polynomial (2x² + 6x + 1) + (3x² + 3x + 9):
- Add the x² terms: \(2x² + 3x² = 5x²\)
- Add the x terms: \(6x + 3x = 9x\)
- Add the constant terms: \(1 + 9 = 10\)
So the correct result of this addition is: \[ (2x² + 6x + 1) + (3x² + 3x + 9) = 5x² + 9x + 10 \]
From the options provided, the correct example demonstrating polynomial addition is:
- (2x² + 6x + 1) + (3x² + 3x + 9) = 5x² + 9x + 10