Question

find m and n it x-1 and x-2 exactly divide the polynomial x³+mx²-nx +10​

Answer 1

Answer:the polynomial is exactly divisible by 1 and 2

taking x as 1, we get

1^3+m*1^2-n*1+10=0

m-n=-11----------(i)

taking x as 2,

2m-n=-9---------(ii)

subtracting (ii) from (i),

-m=-2

m=2----------------------(iii)

from (i)and (ii),

2-n=-11

n=13

therefore, the value of m is 2 and the value of n is 13.

hope it helps!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation: