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3 years ago

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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The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first

GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

$t_4=t_{3}+2 = 6+ 4= 10$

When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

$t_6=t_{5}+6 = 15 + 6 = 21$

when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0

3 years ago

C divided by 5 ? please i need help

KiRa [710]

Answer:

0.2 coulombs is the answer

4 0

2 years ago

Please help me with this question.

Vesna [10]

Answer:

Step-by-step explanation:

C, because the second line keeps adding 6 to it and, the third line keeps adding 7.

5 0

2 years ago

Which of the following are even numbers ?

musickatia [10]

Answer:

an even number is a number that is divisible by 2 so there it will be 16 38 44 48 68 84 and 92

3 0

3 years ago

Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottl

svetlana [45]

If I’m correct 500-35=465 then 465 divided by 2 and u got 232.5 and they said. At least 2 for each so I would go with 232 aka b

4 0

2 years ago