find k if 1-2x is a factor of 2x^4-kx^3+4x^2+2x+1
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1-2x is a factor, means x = 1/2 is a zero (root).
Thus,
2×(1/2)^4 - k×(1/2)^3 + 4×(1/2)^2 + 2×(1/2) + 1 = 0
1/8 - k/8 + 4/4 + 2/2 + 1 = 0
(1-k)/8 = -3. k = 25
Thus,
2×(1/2)^4 - k×(1/2)^3 + 4×(1/2)^2 + 2×(1/2) + 1 = 0
1/8 - k/8 + 4/4 + 2/2 + 1 = 0
(1-k)/8 = -3. k = 25
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