Question

If 1 is one of the zeroes of the polynomial x² + x + k, then the value of k is:

Answer 1

Answer:

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Step-by-step explanation:

ANSWER ::

Let f(x) = x² + x + k

Since

1 is one of the zeroes of the polynomial x² + x + k

So by The Remainder Theorem we have

Remainder = f(1) = 1² + 1 + k = 1+ 1 + k = k + 2

So by the given condition

k + 2 = 0

k = - 2

Answer 2

Answer:

(1)*2+1+k=0

1+1+k=0

2+k=0

k=-2

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