Question

Factorise the quadratic trinomal x2+15+56

Answer 1

Answer:

$\mathrm{ {x}^{2} + 15x + 56 }$

On splitting,

$\mathrm{\implies \: {x}^{2} + 7x + 8x + 56 }$

$\mathrm{\implies \: x(x + 7) + 8(x + 7)}$

$\mathrm{\implies \: (x + 7)(x + 8)}$

Which means,

$\mathrm{(x + 7) = 0 \: or \: (x + 8) = 0}$

$\mathrm{\therefore \: x = - 7 \: or \: x = - 8}$