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klio [65]
3 years ago
9

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i?

Mathematics
2 answers:
Helga [31]3 years ago
5 0

Answer:

f(x) = x3 – 3x2 + 4x – 2

Step-by-step explanation:

astra-53 [7]3 years ago
4 0

x³ - 3x² + 4x - 2

complex roots occur in conjugate pairs

1 + i is a root then so is 1 - i

the factors of the polynomial are therefore

f(x) = (x - 1 )(x - (1 + i))(x - (1 - i))

     = (x - 1 )(x² - 2x + 2 ) ( expand factors and simplify )

     = x³ - 3x² + 4x - 2



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If 1 + + 2 + 3 = 60, then the average (arithmetic mean) of , 2 , 3 , and 4 is equal to what
Zielflug [23.3K]

Step-by-step explanation:

1x+2x+3x=60

x=10

2x+3x+4x=20+30+40=90

average=90÷3=30

3 0
3 years ago
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves
Alexxandr [17]
<h3>G I V E N : </h3>

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

<h3>S O L U T I O N : </h3>

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

  • <u>Remaining amount left with him is $450</u>
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3 years ago
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My name is Ann [436]
<span>8-5x=8+2x is to be solved for x.

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4 years ago
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Answer:

the most they could weigh is .74 kilos and the least would be .62

Step-by-step explanation:


7 0
3 years ago
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yanalaym [24]
This is a site run by students for students. And to attract viewers you need to give out some good points,and another thing is that this app HELPS you,because at the end of the day this app is not gonna sit beside you in exam. You have to do the studying. Anyways,I will see if i can answer some of your questions.
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