exam Maths Puzzle Numerical Ability

Write x4 - 6x2 - 27 as a product of linear factors and quadratic factors that are irreducible over the reals.

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exam Other Question

The point (-1/2,sqrt3/2) on the unit circle is rotated 60degrees clockwise. Determine the coordinates of the new point.
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determine the equation of the parabola with x-intercepts -4 and 3, and that passes through (2,7)