Question:
if x^2 +2x +k is completely divisible by (x-1) by using division algorithm then find the value of k
Answer:
Given, x2 + 2x + k is completely divisible by (x-1)
Now, put x - 1 = 0
=> x = 1 in the given equation, we get
12 + 2*1 + k = 0
=> 1 + 2 + k = 0
=> 3 + k = 0
=> k = -3
So, the value of k is -3
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