Question

Factorize:- 2x^2-x+3​

Answer 1

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• Common factor -

$\: 2x ^ 2 - x + 3 - 1(2x ^ 2 + x - 3)$

• Use the sum-product pattern

$\: - 1(2x ^ 2 + x - 3)$

$\: - 1(2x ^ 2 + 3x - 2x - 3)$

• Common factor from the two pairs -

$- 1(2x {}^{2} + 3x - 2x + 3) \\ - 1(x(2x + 3) - 1(2x + 3)$

• Rewrite in factored form -

$- 1(x - 1)(2x + 3)) \\ - 1(x - 1)(2x + 3)$