(a) x 3 + 4x + 2 is divisible by x + 2 plz help me fast
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Step-by-step explanation:
Since f(x) is exactly divisible by x - 2, we can say that x - 2 is a factor of f(x).
By the factor theorem,we know that since x - 2 is a factor of f(x), f(2) must be zero.
So, now:
f(2) = 0
2^3 + 4(2^2) - p(2) + 8 = 0
8 + 16 - 2p + 8 = 0
32 - 2p = 0
2p = 32
p = 32 / 2
p = 16
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