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Answer:
Zeroes : 1, 4 and -5.
Potential roots: .
Step-by-step explanation:
The given equation is
It can be written as
Splitting the middle terms, we get
Splitting the middle terms, we get
Using zero product property, we get
Therefore, the zeroes of the equation are 1, 4 and -5.
According to rational root theorem, the potential root of the polynomial are
Constant = 20
Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.
Leading coefficient= 1
Factors of leading coefficient ±1.
Therefore, the potential root of the polynomial are .