Question

it is given that 1 is one of the zeroes of the polynomial 7x-xsquare-6 find its other zeroes

Answer 1

X²-7x-6 is the polynomial given but the correct one is
x²-7x+6
solution for the correct polynomial is
x²-6x-x+6. ( by splitting middle term)
X(x-6)-1(x-6).
(x-6)(x-1)
X=6 and 1
other zeros is 1

Answer 2

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Here is your answer.
IF 1 is the one root of the equation
$7x - {x}^{2} - 6 = 0$
Here
a = -1
b = 7
c = -6
Let the other root is y

As we know that

Product of roots = c/a

$1 \times y = \frac{ - 6}{ - 1} \\ y = 6$
Therefore other root is 6

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