Question

what must be subtracted from x3 - 6x2 - 15x + 80 so that the result is exactly divisible by x2 - x - 12


pls tell

Answer 1

Step-by-step explanation:

${x}^{3} - 6 {x}^{2} - 15x \: + 80 \: by \: {x}^{2} - x - 12 \: long \: division \: method$

We get remainder as

$14x - 10$

and remainder as

$x - 5$

Thus if we subtract the remainder x - 5 from

${x}^{3} - {6x}^{2} - 15x +80$

,it will be exactly divisible by

${x}^{2} - x - 12$