.If (x-2)is a factor of f(x)=x³+x³-16x+k, then f(x)is divisible by*x+1x-1x-5x+5
Question
Solution 1
The question seems to be a bit unclear, but I'll try to interpret it as best as I can.
If (x-2) is a factor of f(x) = 2x³ - 16x + k, then by the Factor Theorem, f(2) = 0.
Let's substitute x = 2 into the equation:
f(2) = 2*(2)³ - 16*(2) + k = 0 16*2 - 32 + k = 0 32 - 32 + k = 0 k = 0
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