Answer:
2x+5
Explanation:
Just divide the given data.
Given: f(x)=x
3
−3x
2
−12x+19
g(x)=x
2
+x−6
By division algorithm
f(x)=g(x)×q(x)+r(x)
q(x)=
g(x)
f(x)+[−r(x)]
If means r(x) must be added so that result is exactly divisible by x
2
+x−6.
So, 2x+5 must be added to f(x), so that the result is exactly divisible by x
2
+x−6.