Question

What should be added to polynomial ³ – 3² – 15 + 6 , so that it is completely divisible by ( – 3 ) ​

Answer 1

Answer:

-3

Step-by-step explanation:

Concept:

The remainder when f(x) is divided by (x-a)

is f(a)

Let f(x)= x³-3x² +6x-15

The remainder when f(x) is divided by (x-3)

=f(3)

=(3)³-3(3)² +6(3)-15

=27-27+18-15

=3

Therefore -3 should be added so that it is exactly divisible by (x-3)