Question

if X + a is a factor of 2 X ^2 + 2ax + 5 x + 10=0 then find the value of a

Answer 1

x+a=0
x=-a
p(x)=2x^2+2ax+5x+10=0
p(x)=2(- a)^2+2(- a)×a+5(-a)+10=0
=2a^2-2a^2-5a+10=0
=-5 a=-10
5a=10
a=2