Question

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

• A. -2
• B. 0
• C. 2
• D. 4

Answer 1

The correct option is B 0

The sum of the roots of the equation $a{x}^2+bx+c=0$ 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.