Answer:
P(x) = - 5(x + 2)²(x - 3)
Step-by-step explanation:
Given roots x = - 2 with multiplicity 2 and x = 3 , then the factors are
(x + 2)² and (x - 3)
P(x) is then the product of the factors, that is
P(x) = a(x + 2)²(x - 3) ← a is a multiplier
To find a substitute (2, 80) into P(x)
80 = a(2 + 2)²(2 - 3) = a(16)(- 1) = - 16a ( divide both sides by - 16 )
a = - 5
n = - 7
