If x3-8x​2+8x+ k is completely divisible by x - 2, then find the value of k.

  • 4
if x-2 divides px so it is factor of px so 2 is the zero of polynomial
p(x)=x×x×x -8×x×x+8x+k
p(2)=2×2×2-8×2×2+8×2+k
0=8-32+16+k
32=24+k
32-24=k
k=8
  • 2
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