Question

Add the polynomials.(x²+5x+6)+(-4x²+11x-9)

Answer 1

To add the given polynomials, combine the like terms: x² terms, x terms, and constant terms. The result is -3x² + 16x - 3.

Step-by-step explanation:

To add the polynomials (x²+5x+6) and (-4x²+11x-9), you combine like terms. Here are the steps:

1. Add the x² terms: x² + (-4x²) = -3x².
2. Add the x terms: 5x + 11x = 16x.
3. Add the constant terms: 6 + (-9) = -3.

So, the result of the addition is -3x² + 16x - 3.

This is consistent with the commutative property of addition, which states that the order of addition does not affect the result. (2 + 3 or 3 + 2, for example, both equal 5.)