find value of k if a if -1 is a zero of polynomial P of x = 2 x square - 4 x + k
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Given: -1 is the zero of the polynomial 2x^2 - 4x + k.
To find: The value of k.
Answer:
p(x) = 2x^2 - 4x + k.
p(-1) = 2*(-1)^2 - 4*(-1) + k
p(1) = 2 + 4 + k
p(1) = 6 + k
6 + k = 0
k = -6
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