Question

pls answer fast plss ​

Answer 1

Step-by-step explanation:

p(x)=z³-mz-13z+n

and let g(x)1= (z-1)

z-1=0

z=1

put z=1 in p(x)

hence (z-1) is factor

so

1³-m×1-13×1+n=0

1-m-13+n=0

14-m-n=0

-(m+n)=-14

cancel - on both the side so we shall get

m+n =14 equation (1)

g(x)2=z+3

so

z+3=0

z=-3

put z=-3 in p(x)

so,

-3³-m×-3²-13×-3+n=0

-27+9m+39+n=0

12+9m+n=0

9m+n=-12 equation (2)

from 1 and 2

9m+n=-12

m+n=14

from here find m and n