What must be added to x³- 3x²-12x+19 , so that the result is exactly divisible by x² +x-6

Me figure out the process to determine x you appreciate it : )

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

(05.08a)triangle abc is transformed to similar triangle a′b′c′ below: a coordinate plane is shown. triangle abc has vertices a at 2 comma 6, b at 2 comma 4, and c at 4 comma 4. triangle a prime b prime c prime has vertices a prime at 1 comma 3, b prime at 1 comma 2, and c prime at 2 comma 2. what is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5