Final answer:
To subtract the polynomial -4p^2-9p+11 from p^2-5p+4, change the signs of the second polynomial and combine like terms, resulting in 5p^2 + 4p - 7.
Step-by-step explanation:
To subtract the polynomial -4p^2-9p+11 from p^2-5p+4, you need to change the sign of each term in the second polynomial and then add it to the first. Following these steps:
Change the sign of the second polynomial: -(-4p^2)-(-9p)+(-11).
Combine like terms by adding the coefficients of corresponding powers of p.
The subtraction will look like this:
(p^2 - 5p + 4) - (-4p^2 - 9p + 11) = p^2 + 4p^2 - 5p + 9p + 4 - 11
Combine the like terms:
5p^2 + 4p - 7