If -4 is zero of polynomial x²-x-(2+2k) then find the value of k is
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given polynomial is
p(x) = x² -x -( 2 + 2k)
since , -4 is a zero
so,
p( -4) = 0
=> ( -4)² -(-4) -( 2 + 2k) = 0
=> 16 + 4 -( 2 + 2k) = 0
=> 20 = 2 + 2k
=> 20 -2 = 2k
=> 18 = 2k
=> k = 18/2
=> k = 9
so,
the value of k is 9.
I hope it will help you!!.
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