The zero of p(x) = -x^2 + 2x - 1 is.......... | vedclass

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(A) To find the zero of the polynomial $p(x) = -x^2 + 2x - 1$,we set $p(x) = 0$.$-x^2 + 2x - 1 = 0$Multiply the entire equation by $-1$ to simplify:$x

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$1$

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(A) To find the zero of the polynomial $p(x) = -x^2 + 2x - 1$,we set $p(x) = 0$.$-x^2 + 2x - 1 = 0$Multiply the entire equation by $-1$ to simplify:$x^2 - 2x + 1 = 0$This is a perfect square trinomial of the form $(a - b)^2 = a^2 - 2ab + b^2$,where $a = x$ and $b = 1$.$(x - 1)^2 = 0$Taking the square root of both sides:$x - 1 = 0$$x = 1$Therefore,the zero of the polynomial is $1$.

The zero of $p(x) = -x^2 + 2x - 1$ is..........

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