Question

If (x+2) and (x-1) are factors of (x^3+10x^2+mx+n

Answer 1

Answer:

7 and-18

Step-by-step explanation:

Here, x+2 is a factor of x  

3

+10x  

2

+mx + n

x=−2

(−2)  

3

+10(−2)  

2

+m(−2)+n=0

−8+40=2m−n

2m−n=32                     . (i)

Again, x−1 is a factor of x  

3

+10x  

2

+mx+n

x=1

1+10+m+n=0

m+n=−11                    .(ii)

Adding (i) and (ii). we get,

3m=21

m=7

By putting m in (i). we get,

2(7)−n=32

−n=18

  n=−18