first, love the killua profile picture ! i love hunterxhunter i am currently on season 5, episode 44 or 45 aka 119 or 120 but anyways,
answer:
b = 2
step-by-step explanation:
because its roots are -4 and 2,
and a = 1 [The coefficient of [tex]x^2[/tex]] we know that [tex]x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0.[/tex]
using the distributive property we get,
[tex]x^2 + 2x - 8 = 0.[/tex]
by equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8 ( solved c just for fun guess :) ) .
hope this helps :)
-audrey <3