Question

Which example correctly demonstrates polynomial addition? (1 point)
• (2x2 + 6x + 1) + (3x2 + 3x + 9) = 13x2 + 9x + 10
• (2x2 + 6x + 1) + (3x2 + 3x + 9) = 5x* + 9x2 + 10
• (2x2 + 6x + 1) + (3x2 + 3x + 9) = -x* + 3x - 8
• (2x2 + 6x + 1) + (3x2 + 3x + 9) - 5x₴ + 9x + 10

Answer 1

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):

1. Add the x² terms: \(2x² + 3x² = 5x²\)
2. Add the x terms: \(6x + 3x = 9x\)
3. 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**