Question

If x+a is a factor of 2x^2+2ax+5x+10 find a

Answer 1

Answer:

x+a=0

x=-a

p(x)=2x^2+2ax+5x+10

p(-a)=2(-a)^2+2(a)(-a)+5(-a)+10

0=2a^2-2a^2-5a+10

0=-5a+10

-10=-5a

-10/-5=a

a=2