Write a polynomial functionſ of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 1,3, and
2-i.
Answers
Answer:
f(x) = [tex]x^{4} - 8x^{3} + 24x^{2} - 32x + 15[/tex]
Step-by-step explanation:
First of all, if 2 - i is a zero, then so is 2 + i
All you need to do now is multiply (x - 1)(x - 3)(x - 2 + i)(x - 2 - i)
I will do part of that multiplication
(x - 2 + i)(x - 2 - i) = [tex]x^{2}[/tex] - 2x - xi - 2x + 4 + 2i + xi - 2i - [tex]i^{2}[/tex]
= [tex]x^{2}[/tex] - 4x + 5
So, now (x - 1)(x - 3)([tex]x^{2}[/tex] - 4x + 5) = [tex]x^{4} - 8x^{3} + 24x^{2} - 32x + 15[/tex]
I will let you finish that multiplication. I did some and you can do some. OK?
Related Questions
Engineers at an amusement park design a roller coaster that for every
four feet it runs, it rises 6 feet. For the roller coaster to rise 36 feet, how
many feet it must run?
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Answer:
No sé la respuesta, pero traduce esto: D
Step-by-step explanation:
Pleaseee help me which one is it????
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Answer:
it is definitely negative, i think it is -3/2
Step-by-step explanation:
is there a better picture of the graph?
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1(5x-7u=-7)
1(-2x+3y=2)
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Find the truth set of this equation:
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Answers
Answer:
11/12
Hope this helps!!!!
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En una caja hay dos canicas rojas y cinco verdes, si se
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Simplify -5(6 + 8x) anyone know It would be greatly appreciated?
Answers
☁️ Answer ☁️
annyeonghaseyo!
Your answer is:
-30 - 40x
Hope it helps.
Have a nice day noona/hyung!~￣▽￣❤️
Answer:
-30-40x
Step-by-step explanation:
its this because when you mutiply -5 x 6 that = -30 and -5 x 8x = -40 x
Amar received a 20% raise at work. He earned $20 per hour before the raise. What is the amount of his raise?
Answers
Answer:
4
Step-by-step explanation:
20% of $20 is $4
the sum of a number x and 4,
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Answers
Answer:
(x+4)÷3
Step-by-step explanation:
:))) brainlest plzz
Due 03/24/21 11:5 Exit 4-6: MathXL for School: Practice & Problem Solving Question Help X 4.6.PS-13 Design An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 10 more than three times the length of the bottom of the triangle. The last side is 1 more than the bottom of the triangle. plz hurry!!!
Answers
Answer:
[tex]x < - 9[/tex]
Step-by-step explanation:
We can only find the range of the values of x by using triangle inequality,
[tex]x + 1 + x > 3x + 10 \\ \\ 1 - 10 > 3x - 2x \\ \\ - 9 > x[/tex]
Multiply through both sides by -1, we get,
[tex]x < - 9[/tex]
This means x = -10, -11, ... (which is not realistic because a side of a triangle cannot be a negative number)
What is the instantaneous acceleration of the particle at point B?
A) 0 meters/second2
B) 10 meters/second2
C) 12 meters/second2
D) 15 meters/second2
Answers
Answer:
it is not D
Step-by-step explanation:
I need to solve for x this is easy I don't have the time to do it though
Answers
5x+5x=90
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x=9
Find the total surface area of the cylinder pictured. Use 3.14 for pi.
75.3 square meters
226.1 square meters
527.5 square meters
301.4 square meters
Answers
Answer:
527.5 sq. meters.
Step-by-step explanation:
I got it right on a test.
Answer:
527.5
Step-by-step explanation:
What is "a" divided by "a"% of "a"?
Answers
Answer:
A is the answer or half i dont know
Step-by-step explanation:
. One measure of variability is __________________, which is the mean distance between each data value and the mean of the data set. *
A.measure of center
B.mean
C.measure of variablity
D.mean absolute deviation (MAD)
Answers
Help and please make sure it’s right I only have 6 questions:(
Answers
Answer:
x=4
Step-by-step explanation:
135+25+5x=180°
160+5x=180
5x=20
x=4
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Answer:
1 over 3
Step-by-step explanation:
Rise over run
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it runs 3
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what is incorrect about this problem
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Answer:
The answer is correct
Step-by-step explanation:
What is the perimeter of quadrilateral ABCD?
O 15 units
O 17 units
O 18 units
o 20 units
Answers
Answer:
The perimeter of the quadrilateral ABCD is 20 units.
As, There are 4 angles in the quadrilateral.None of the 3 above options are the perimeter.
Amber the giant panda can eat at least 2.5 kilograms of
bamboo per hour and at most 3.5 kilograms of bamboo
per hour. Based on this information, what is a possible
amount of time, in hours, that it could take Amber to eat
35 kilograms of bamboo'?
Answers
Answer:
i think 6 hours so sry if i am wrong good luck
Step-by-step explanation:
I need Helpppp please!!!!!
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Answer:
0.15 $
Step-by-step explanation:
17) PG = 7. Find PF.
Answers
PF is also a right angle equaling 7
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Answers
Answer:
[tex](x+3)^2+2[/tex] or [tex]x^2+6x+11[/tex], they're both equal.
Please help me out here!! Literally one of my 12 missing assignments lol-
Answers
Answer:
A i think
Step-by-step explanation:
Jerel runs 5 days each week. On each of 4 days, he runs 2.3 km. If Jerel runs a total of 14 km, how many kilometers does he run on the fifth day?
PLEASE HELP!
Answers
what is the value of sin 43 degrees to the nearest ten-thousandth?
Answers
Answer:
d
Step-by-step explanation:
just rounding the 3rd digit on the left from the dot: )
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Answers
Answer:
Step-by-step explanation:
Option 4 2x + y = - 4 is the correct answer
Answer:
most likely D
Step-by-step explanation:
the degree of -6x^4 is?
Answers
Answer:
4
Step-by-step explanation:
To find the degree, we look for the highest exponent number. In this case, there is only one. So, the answer is 4.
Suppose the two line segments in a coordinate plane one with a length of 120 units and other with a length of 240 units were both rotated 90 degrees about the origin and then translated 50 units up one of the resulting segments could have a length of...Units.
Answers
Answer:
[tex]Line\ 1 = 120\ units[/tex]
[tex]Line\ 2 = 240\ units[/tex]
Step-by-step explanation:
Given
[tex]Line\ 1 = 120\ units[/tex]
[tex]Line\ 2 = 240\ units[/tex]
Transformation
Rotation: 90 degrees
Translation: 50 units up
Required
The new length of one of the lines
Since no options were given, I will solve for the lengths of the two lines
From the question, the transformations are rotation and translation. These two types of translation do not alter the length or angle of a shape.
This implies that both lines will still retain their original lengths.
So. we can conclude that, after the transformation
[tex]Line\ 1 = 120\ units[/tex]
[tex]Line\ 2 = 240\ units[/tex]
Jean deposits $730 in an account that pays 2.8% simple interest. He neither adds more money nor withdraws any mone from his account. What amount will be in Jean's account after 5 years?
Answers
Answer:
730 x 0.028 = (assuming per year) 20.44
20.44 x 5 = 102.2
102.2 + 730 = 832.2
Your final answer is 832.2
Step-by-step explanation:
Hope this helps!
The value of amount will be in Jean's account after 5 years is,
⇒ Amount = $832.2
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jean deposits $730 in an account that pays 2.8% simple interest.
And, He neither adds more money nor withdraws any mone from his account.
Now, We know that;
Interest = PRT / 100
Where, P is principal amount,
R is rate
And, t is time.
Hence, Substitute the values we get;
Interest = 730 x 2.8 x 5 /100
= $102.2
Hence, The value of amount will be in Jean's account after 5 years is,
⇒ $730 + $102.2
⇒ $832.2
Therefore, The value of amount will be in Jean's account after 5 years is,
⇒ Amount = $832.2
Learn more about the simple Interest visit:
https://brainly.com/question/7639734
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