Final answer:
p(-4) = 176 and p(5) = -144.
Step-by-step explanation:
To find p(-4) and p(5) for the function p(x) = 5x² - 5x - 10x² +6x - 1, we substitute -4 and 5 into the function.
For p(-4):
p(-4) = 5(-4)² - 5(-4) - 10(-4)² + 6(-4) - 1
Simplifying the expression gives us p(-4) = 176.
For p(5):
p(5) = 5(5)² - 5(5) - 10(5)² + 6(5) - 1
Simplifying the expression gives us p(5) = -144.