Question

If (x-2) is a factor of both (x ​2 + ax -6) and (x 2 -9x+b), then find a+b.

Answer 1

f(x)=2
f(x)=x2+ax-6
f(2)=2*2+a*2-6
=4+2a-6
=-2+2a
2=2a
2/2=a
a=1

f(x)=x2-9x+b
f(2)=2*2-9*2+b
=4-18+b
=-14+b
14=b

a=1 and b=14