Question

if X + 2 and x minus 1 are the factors of x cube + 10 X square + m into X + n then the value of M and n are respectively what​

Answer 1

Answer:

as x+2 and ×-1 are roots of the equation there fore x= -2 or x=1 should satisfy the equation and it should be zero

by putting x= -2 in the given equation

x^3+10x^2+mx+n , we get

-8+40-2m+n=0

n=2m-32 (1)

putting x=1 in the given equation

we get

1+10+m+n=0

n+m+11=0

from (1) substituting the value of n

2m-32+m+10=0

m-22=0

m=22

therefore from (1) n=2×(22) - 32

n=44 - 32

n= 10