FIND the value of m & n so that the polynomial
p(z)=z^3-mz-13z+n has z-1 & z-3 as factors
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Answer:
eq 1
z=1
so,we put the value so it come
1-m-13+n=0
-12-m+n=0
-12+n=m eq 1
eq2
z=-3
so,we put the value so it come
-27-9m+39+n
+12-9m=n
we put value m and n to show there value
so when we add them
-12+n+12+12-9(-12+n)=0
120-9n+n=0
+8n+120=0
8n=-120
so, n=120/8
so m=15
n=3
H.P
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