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Question

If 1 is one of the zeroes of the polynomial $$x^2 - x + k$$, then the value of k is _________.


A
-2
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B
0
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C
2
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D
4
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Solution

The correct option is B 0
The sum of the roots of the equation $$ax^{2}+bx+c=0$$ is $$-\frac{b}{a}$$ and product of the roots is $$\frac{c}{a}$$
Here one of the roots is $$1$$. Let the other be $$p$$
Sum of the roots=$$1+p=1$$
$$\Rightarrow$$ $$p=0$$
Product of the roots$$=p\times 1=k$$
$$\Rightarrow$$ $$k=0$$
Therefore, Option B is correct.

Mathematics

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