exam Maths Puzzle Numerical Ability

How can you find a soultion for the this problem that make sense, instead of just saying it is not a square?


IRRATIONAL NUMBERS

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Given the function: f(x) = -3(x + 2)2 (squared), find the vertex, axis of symmetry, and determine whether the f(x) has a minimum or maximum point.

Thank you.
The problem says: Find all zeros of: {{{ Q(x)=x^6-4x^5+5x^4-x^2+4x-5 }}}. I used Decartes Rule of Signs, Rational Zeros Theorem, and synthetic division to find that x=-1 and x=1