exam Maths Puzzle Numerical Ability

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35: If a triangle has sides of lengths 8, 4, and 4 sqrt(3), is the triangle right?

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The degree three polynomial f(x) with real coefficients and leading coefficient 1 has -3 and 4i among its roots. Express f(x)as a porduct of linear and quadratic polynomials with real coefficients. |x+6|+8=4