Question

Factorise 3x2
${3x}^{2} + 11x + 6$

+ 11x + 6​

Answer 1

Answer:

$\boxed{\sf (x + 3)(3x + 2)}$

Step-by-step explanation:

$\sf Factor \: the \: following: \\ \sf \implies {3x}^{2} + 11x + 6 \\ \\ \sf The \: coefficient \: of \: {x}^{2} \: is \: 3 \: and \: the \\ \sf constant \: term \: is \: 6. \: The \: product \: of \\ \sf 3 \: and \: 6 \: is \: 18. \\ \sf The \: factors \: of \: 18 \: which \: sum \: to \: 11 \: \\ \sf are \: 2 \: and \: 9. \\ \\ \sf So, \\ \sf \implies {3x}^{2} + (9 + 2)x + 6 \\ \\ \sf \implies {3x}^{2} + 9x + 2x + 6 \\ \\ \sf \implies 3x(x + 3) + 2(x + 3) \\ \\ \sf \implies (x + 3)(3x + 2)$