from polynomial equations of the lowest degree ,with roots 1±2i,4,2
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0
Answer:
Given roots of polynomial equation are 0,0,2,2,−2,−2
The lowest degree polynomial equation will be (x−0)(x−0)(x−2)(x−2)(x+2)(x+2)=0
⟹x
2
(x
2
−4)
2
=0
⟹x
2
(x
4
−8x
2
+16)=0
⟹x
6
−8x
4
+16x
2
=0
Answered by
0
Answer:
Step-by-step explanation:
Given roots of polynomial equation are 0,0,2,2,−2,−2
The lowest degree polynomial equation will be (x−0)(x−0)(x−2)(x−2)(x+2)(x+2)=0
⟹x
2
(x
2
−4)
2
=0
⟹x
2
(x
4
−8x
2
+16)=0
⟹x
6
−8x
4
+16x
2
=0
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