exam Maths Puzzle Numerical Ability

solve homogeneous system of equations

x - 2y + 3z = 0
3x - 7y - 4z = 0
4x - 4y + z = 0

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Find the zeros of the following functions:

f(x)=x^4+6x^3+11X^2+12x+18 the area of a rectanglehas a area of52cm^2 and its length is 1cm more than 3 times its width find the perimiter of the rectangle