Question

if
$(x - a)$
is a factor of
${x}^{2} + b x + c$
and
${x}^{2} + lx + m$
show that
$a = m - c \div b - l$
​

Answer 1

(x-a) is factor so

a^2+ab+c=0

a^2+la+m=0

subract

ab-la+c-m=0

a(b-l)=m-c

a=m-c/b-l

hope it helps