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bixtya [17]
3 years ago
9

use the rational root theorem to list all possible rational roots of the polynomial equation x^3-x^2-x-3=0. do not find the actu

al roots.
Mathematics
2 answers:
Korolek [52]3 years ago
7 0

Answer: -3, -1, 1, 3


Step-by-step explanation:


Allisa [31]3 years ago
5 0
None. <span>±</span>p/q, <span>where </span><span>p</span><span> is a </span>factor<span> of the </span>constant<span> and </span><span>q</span><span> is a </span>factor<span> of the leading </span>coefficient<span>.</span>
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Verify the identity
Igoryamba

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β)      Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β  

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

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12-(2x4+1)
dybincka [34]
No they should multiplied before adding
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