Question

factorize 12x² -7x+1

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\boxed{\sf (3x - 1)(4x - 1)}$

Step-by-step explanation:

$\sf Factorize: \\ \sf \implies 12{x}^{2} - 7x + 1 \\ \\ \sf \implies 12{x}^{2} - (3 + 4)x + 1 \\ \\ \sf \implies 12{x}^{2} - 3x - 4x + 1 \\ \\ \sf \implies 3x(4x - 1) - 1(4x - 1) \\ \\ \sf \implies (3x - 1)(4x - 1)$

Additional:

$\sf (3x - 1)(4x - 1) = 0 \: split \: into \\ \sf two \: equations \: to \: get \: x: \\ \sf \implies (3x - 1) = 0 \: \: \: \: or \: \: \: \: (4x - 1) = 0 \\ \\ \sf \implies 3x = 1 \: \: \: \: or \: \: \: \: 4x = 1 \\ \\ \sf \implies x = \frac{1}{3} \: \: \: \: or \: \: \: \: x = \frac{1}{4}$