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Hitman42 [59]
3 years ago
10

Find the polynomial of least degree in standard form with the given roots: x = 2, 3i

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

x^3 - 2x^2 + 9x - 18.

Step-by-step explanation:

The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.

So we have:

P(x) = (x - 2)(x - 3i)(x + 3i)

= (x - 2)(x^2 - 9i^2)

= (x - 2)(x^2 - 9*-1)

= (x - 2)(x^2 + 9)

= x^3 + 9x - 2x^2 - 18

= x^3 - 2x^2 + 9x - 18.

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Answer:

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(72-51)+(26-9)

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3 years ago
What is the mass of 2.5 moles of carbon dioxide?
GarryVolchara [31]

Answer:

110 grams

Step-by-step explanation:

CO2 molecule is made up of Carbon (atomic mass =12) and oxygen (atomic mass=16).

So first finding the mass of 1 molecule of CO2 which is equals to

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= 12+(16*2)= 12+32= 44 a.m.u.

Now 1 molecule of CO2 has mass 44 amu so mass of 1 mole CO2 will be 44 grams.( 1 a.m.u.=1.6729*10^-33 grams. 1 mole = 6.022*10^23, so 44 a.m.u.=73.6076*10^-33 grams approx. For one mole CO2, 73.6076*10^-33*6.022*10^23 which is approximately equals to 44 grams. )

1 mole CO2= 44grams, so 2.5 moles = 44*2.5= 110 grams

So our answer is 110 grams.

lowkey hope this helped you, good luck whatever you need it for Imaooo

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John sells appliances for a living. He sold a
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Answer:

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