Final answer:
To add the polynomials (-8x³ +5x² - 7x+4) and (9x³-11x² +6x –13), combine like terms to get the result: 1x³ - 6x² - x - 9. To add the two polynomials, combine the like terms by adding the coefficients. The result is x³ - 6x² - x - 9.
Step-by-step explanation:
The student asked to perform the indicated operation which involves adding two polynomial expressions: (-8x³ +5x² - 7x+4)+(9x³-11x² +6x –13). To do this, we combine like terms, adding the coefficients of terms that have the same power of x.
So, we add together the x³ terms, the x² terms, the x terms, and the constant terms separately:
- x³ terms: (-8x³) + (9x³) = 1x³
- x² terms: (5x²) - (11x²) = -6x²
- x terms: (-7x) + (6x) = -1x
- Constant terms: (4) + (-13) = -9
Putting it all together, the result of the addition of polynomials is:
1x³ - 6x² - x - 9