use the factor therom to determine wether g(x) is a factor of p(x) in the following cases:
1. p(x) = 2x3 + x2 - 2x - 1, g(x) = x + 1
2. p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2
3. p(x) = x3 - 4x2 + x + 6, g(x) = x - 3
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1. g(x) = x+1 = 0 = x = -1
p(x) = 2(-1)^3 +(-1)^2 - 2(-1) - 1
= -2 + 1 + 2 - 1
= 4
2. g(x) = x+2 = 0 = x = -2
p(x) = (-2)^3 + 3(-2)^2 + 3(-2) + 1
= -8 + 12 - 6 +1
= -1
3. g(x) = x-3 = 0 x = 3
p(x) = (3)^3 - 4(3)^2 + (3) + 6
= 27 - 36 + 3 +6
= 0
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