Question

factorise 2xsqure+11x+14​

Answer 1

Answer:

$2 {x}^{2} + 11x + 14 \\ = 2 {x}^{2} + 4x + 7x + 14\\ = 2x(x + 2) + 7(x + 2) \\ = (2x + 7)(x + 2)$

Answer 2

Answer:

$2 {x}^{2} + 11x + 14 = 0 \\ \\ 2 {x}^{2} + 7x + 4x + 14 = 0 \\ \\ x(2x + 7) + 2(2x + 7) = 0 \\ \\ (x + 2)(2x + 7) = 0 \\ \\ x = - 2 \: \: or \: \: x = - \frac{7}{2}$