Question

Factor completely
x^2+11x+24

Answer 1

`(x+8)(x+3)`

Explanation:

`x^2+11x+24\\\\=(x+s_1)(x+s_2)\\\\and\:we\:have\:that\\\\s_1+s_2=11\\\\s_1s_2=24\\\\so\:by\:guessing\:we\:can\:say:\\\\s_1=8\\\\s_2=3\\\\=(x+8)(x+3)`