Find the value of “k”, if x – 1 is a factor of 2x^3 + 5 x ^2 - 3x + 2k
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answer for the given problem is given
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Answer:
k = -2
Step-by-step explanation:
Since x-1 is a factor , therefore, x=1 is the zero of the p{x}
Now,
2(1)^3 + 5(1)^2 - 3(1) + 2k = 0
2(1) + 5(1) - 3(1) + 2k = 0
2 + 5 - 3 + 2k = 0
7 - 3 + 2k = 0
4 + 2k = 0
2k = - 4
Therefore , k = -4/2
k = -2
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