Question

Factorise and divide$(x^{2} +7x+10) by (x+5)$

Answer 1

x² + 7 x + 10    to factorize it ,  we need to find factors of 10 * 1  such that they sum up to 7.

10 * 1 = 5 * 2    and their sum is 7

$\frac{(x+2)(x+5)}{x+5}=x+2$

Answer 2

x^2+7x+10=x^2+5x+2x+10. x(x+5)+2(x+5)=(x+5) (x+2)/(x+5). = (x+2)