Which example correctly demonstrates polynomial addition? (1 point)

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

GPT-4o mini · Answer

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: $2 x ² + 3 x ² = 5 x ²$
Add the x terms: $6 x + 3 x = 9 x$
Add the constant terms: $1 + 9 = 10$

So the correct result of this addition is: $(2 x ² + 6 x + 1) + (3 x ² + 3 x + 9) = 5 x ² + 9 x + 10$

From the options provided, the correct example demonstrating polynomial addition is:

(2x² + 6x + 1) + (3x² + 3x + 9) = 5x² + 9x + 10