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4 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]4 years ago

5 0

Answer:

f(x) = x3 – 3x2 + 4x – 2

Step-by-step explanation:

astra-53 [7]4 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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A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip to

notka56 [123]

Answer:

Average speed is 48 km per hour

Step-by-step explanation:

A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip took 20.0 min. (a) What was her average speed? in km/hr

Distance traveled is 16 km and the time taken is 20 minutes

convert minutes into hour. to convert minutes into hour we divide by 60 because 1 hour = 60 minutes

$\frac{20}{60} =\frac{1}{3}$

so time = 1/3 and distance = 16

Average speed = distance by time

$speed =\frac{16}{\frac{1}{3} } =\frac{48}{1}= 48$

Average speed is 48 km per hour

4 0

3 years ago

What is the opposite integer of –(–7)?

klio [65]

-7

-(-7) is 7 because two negative signs result in a positive. The opposite integer of 7 is -7

7 0

3 years ago

The answer to the picture please

Vinil7 [7]

the required ans is 3√b+b/3b

8 0

3 years ago

Given the point and the slope, write the function in point-slope form:<br> (2, -5); m = 2/3

pshichka [43]

Y=2/3x+(-5)
hope this helps

3 0

2 years ago

Is -20 an irrational number or rational number

Gekata [30.6K]

Answer: Rational number

Step-by-step explanation:

Let's write out the properties of rational and irrational numbers.

Rational

Integers
Whole numbers
finite decimals
repeating decimals

Irrational

not rational numbers

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Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.

3 0

3 years ago

Read 2 more answers