Question

If x+2 and x+1 are factors of x^3+ 10x^2+mx+n then find m and n

Answer 1

this is not such clear pls type it out correctly

Answer 2

x^3+ 10x^2+mx+n.........eq(1)
x+2= 0
put x= -2 in eq 1
(-2)^3+ 10(-2)^2+m(-2)+n
-8+40-2m+n
32-2m+n
-2m+n= -32...............eq (2)

put x= -1 in eq 1
(-1)^3+ 10(-1)^2+m(-1)+n
-1+10-m+n
9-m+n
-m+n=-9...................eq(3)
subtracting eq 2 from 3

-m+n=-9

-2m+n= -32

_+__-___+____
m=23

put this value in eq 3

-23+n=-9

n= -9+23

n= 14