Question

If 1 is one of the zeroes of a polynomial x2+x+k then find the value of k

Answer 1

Since 1 is the zero of x² + x + k

Therefore,

P(1) = x² + x + k = 0

⇒ 1² + 1 + k = 0

⇒k = - 2

Thus the value of k is - 2

.

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Answer 2

Answer:

-2

Step-by-step explanation:

If 1 is one of the zeroes of a polynomial x²+x+k,

Then

x²+x+k = 0 at x=1,

so

• 1²+1+k=0
• 2+k=0
• k= -2

Answer is k=-2