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sp2606 [1]
3 years ago
6

Can somebody help me please and thank you !

Mathematics
1 answer:
strojnjashka [21]3 years ago
3 0

Answer:

x= -5

hope it's helpful ❤❤

THANK YOU

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What is a possible factorization of a polynomial with –5, 3, and i as zeros?
Rama09 [41]
The best way is to recognise that, if
x
=
5
is a root, then
x
−
5
=
0
, and ditto for the other two roots. So we have
x
−
5
,
x
−
i
,
x
+
i
all equalling zero. To find our polynomial, we just multiply the three terms together:
(
x
−
5
)
(
x
−
i
)
(
x
+
i
)

=
(
x
2
−
i
x
−
5
x
+
5
i
)
(
x
+
i
)

=
x
3
+
i
x
2
−
i
x
2
−
(
i
2
)
x
−
5
x
2
−
5
i
x
+
5
i
x
+
5
i
2

which simplifies to
x
3
−
5
x
2
+
x
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5
.
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