Question

Factorise the following by splitting the middle term: 3x 2 - 7x + 4​

Answer 1

$\huge \tt {3x}^{2} - 7x + 4 = 0 \\ \\ \huge \bf {3x}^{2} - 3x - 4x + 4 = 0 \\ \\ \huge \bf \: 3x(x - 1) - 4(x - 1) = 0 \\ \\ \huge \bf \: (3x - 4)(x - 1) = 0 \\ \\ \huge \sf \therefore \: \: \: \: x = \frac{4}{3} \: \: \:and \: \: \: 1$