In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
P(x) = 200 + 1000x - 100x²
Step 02:
polynomials:
P(-4):
P(-4) = 200 + 1000(-4) - 100(-4)² = 200 - 4000 - 100(16)
P(-4) = 200 - 4000 - 1600 = - 5400
P(3):
P(3) = 200 + 1000(3) - 100(3)² = 200 + 3000 - 100(9)
P(3) = 200 + 3000 - 900 = 2300
The answer is:
P(-4) = - 5400
P(3) = 2300