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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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5 0
2 years ago
Triangle MNO is rotated 180 using the origin as the center of rotation .Which sequence of transformations will produce the same
stiks02 [169]

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5 0
3 years ago
Read 2 more answers
How do I solve this?
Delvig [45]

Answer:

10a + 2b

Step-by-step explanation:

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Now combine like terms:

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4 0
3 years ago
Evaluate 8 divided by 4 times (11-8+2)
luda_lava [24]
<u>well 8 divided by 4 is 2 and 11-8+2 is 5 and 5 times 4 is 20 so 20 is the answer

</u>
4 0
3 years ago
What is -19 + 37?<br> -56<br> -18<br> 18<br> 56
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So 37-19=18
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