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Factor Theorem

Resolve 2y2...

Question

Resolve $2 y^{2} + 9 y - 5$ in to factors.

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Solution

$2 y^{2} + 9 y - 5$
$= 2 y^{2} - y + 10 y - 5$
$= y (2 y - 1) + 5 (2 y - 1)$
$= (2 y - 1) (y + 5)$

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