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One zero of a quadratic polynomial is twice the other. If the sum of zeroes is (-6), find the polynomial.
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Let the zeroes be $\alpha, 2\alpha$
$\alpha + 2\alpha = -6$ gives $\alpha = -2$ (1/2 Mark)
Polynomial is $x^2 + 6x + 8$ (1 Mark)
$\alpha + 2\alpha = -6$ gives $\alpha = -2$ (1/2 Mark)
Polynomial is $x^2 + 6x + 8$ (1 Mark)