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Factorisation of Quadratic Polynomials- Middle Term Splitting

Find the zero...

Question

Find the zeros of the polynomial $x^{2} + 5 x - 14$

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Solution

$x^{2} + 5 x - 14$
$= x^{2} + 7 x - 2 x - 14$
$= x (x + 7) - 2 (x + 7)$
$= (x + 7) (x - 2)$

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