Question

Add the polynomials 2x²+6x-8, 3x²-8x-5

Answer 1

To add the polynomials 2x²+6x-8 and 3x²-8x-5, we simply combine like terms: 5x² for the x² terms, -2x for the x terms, resulting in the sum 5x² - 2x - 13.

Step-by-step explanation:

To add the polynomials 2x²+6x-8 and 3x²-8x-5, we combine like terms, which means we add the coefficients for the corresponding powers of x. The steps are as follows:

1. Add the coefficients of x² terms: 2x² + 3x² = 5x².
2. Add the coefficients of x terms: 6x - 8x = -2x.
3. Add the constant terms: -8 - 5 = -13.

So, the sum of the polynomials is 5x² - 2x - 13.