Question

15x2+2x-1 i want the factor
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Answer 1

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$\: \implies \displaystyle \bf{15 {x}^{2} + 2x - 1 = 0}$

$\: \implies \displaystyle \bf{15 {x}^{2} + 5x - 3x - 1 = 0}$

$\: \\ \implies \displaystyle \bf{5x(3x + 1) - 1(3x + 1) = 0}$

$\: \implies \displaystyle \bf{(3x + 1)(5x - 1) = 0}$

$\: \\ \implies \displaystyle \bf{x = \frac{ - 1}{3} \: and \: x = \frac{1}{5} \: are \: the \: roots \: of \: this \: quadratic \: equation}$