The polynomial P(3) is not equal to zero, hence the function x - 3 is not a factor of the polynomial function given
Given the polynomial function of degree 3 expressed as
p(x) =x³-3x²-2x-6
In order to determine whether x - 3 is a factor, we will follow the simple steps below;
Let r(x) = x- 3
Since x - 3 is a factor, hence r(x) = 0]
x - 3 = 0
]x = 3
Substitute x = 3 into the polynomial function to see if p(3) = 0
P(3) = x³-3x²-2x-6
P(3) = 3³-3(3)²-2(3)-6
P(3) = 27 - 27 - 6 - 6
P(3) = -6-6
P(3) = -12
Since the polynomial P(3) is not equal to zero, hence the function x - 3 is not a factor of the polynomial function given
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