MATHEMATICS HIGH SCHOOL

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?f(x) = x4 – 3x2 – 4
f(x) = x3 + x2 – 4x – 4

Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?
f(x) = –x2 – 8x – 16
f(x) = –x2 + 8x – 16
f(x) = –x2 – 8x + 16

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1
f(x) = (x + 2i)(x + 3i)
f(x) = (x – 2)(x – 3)(x – 2i)(x – 3i)
f(x) = (x + 2i)(x + 3i)(x – 2i)(x – 3i)

Answers

Answer 1
Answer: In the question "What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?" The given roots are i, -2 and 2. Recall that for any polynomial having complex root, the conjugate of the complex root is also a root of the polynomial, thus -i is also a root of the required equation. Thus the required equation is obtainrd thus: f(x) = (x - i)(x + i)(x - 2)(x + 2) = (x^2 + 1)(x^2 - 4) = x^4 - 4x^2 + x^2 - 4 = x^4 - 3x^2 - 4 In the question "Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?" The required equation is obtained thus: f(x) = -(x - 4)^2 = -(x^2 - 8x + 16) = -x^2 + 8x - 16 In the question "Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1" Recall that for any polynomial having complex root, the conjugate of the complex root is also a root of the polynomial, thus -2i and -3i are also roots of the required equation. Thus the required equation is obtained thus: f(x) = (x + 2i)(x + 3i)(x - 2i)(x - 3i).

Related Questions

What is the value of x in the equation 2x + 3y = 36 when y = 6
45% of the beads in a box are blue. if there are 36 blue beads in the box, how many beads are there altogether ?
-4 is less than or equal to x, and 0 is greater than x
What should I pick ?Joe measured a brick using a ruler with centimeters and got 9 cm. He then measured the same brick using a ruler with millimeters and got 90 mm. Are these measurements equivalent? Why or why not?A. Yes, because 10 cm is the same as 1 mm.B. Yes, because 1 cm is the same as 10 mm.C. No, because 2 cm is not the same as 20 mm.D. No, because 1 cm is not the same as 1 mm.
What is 1280 billion devided by 47.9%

25.83 is 52.5% of what number

Answers

The question asks to find the unknown number - x and we know that 25.83 represents 52.5% of that number. 52.5 % = 0.525. We can make an equation: 0.525 * x = 25.83, where x is the required number. x = 25.83 : 0.525, x = 49.2. Also we can say that x is 100% and 25.83 is 52.5%. Therefore: x : 25.83 = 100 : 52.5; 52.5 x = 100 * 25.83; 52.5 x = 2583; x = 2583 : 52.5; x = 49.2. Answer: the required number is 49.2.

What does a residual value of 1.3 mean when referring to the line of best fit of a data set?A data point is 1.3 units above the line of best fit.
A data point is 1.3 units below the line of best fit.
The line of best fit has a slope of –1.3
The line of best fit has a slope of 1.3.

Answers

The residual value of 1.3mean when referring to the lineofbestfit of a data set is that a data point is 1.3 units above the line of a data set. This is because the given residual value is positive. So, the data point is above the best fit line.

Residual value:

  • A residual value is the standard square error which is calculated from the line of best fit.
  • If the residual value 'r' is positive it means the data point is r units above the best fit line.
  • If the residual value 'r' is negative it means the data point is r units below the best fit line.

Line of best fit:

A line of best fit refers to a line through a  plot of datapoints that best expresses the relationship between those points.

For the given residualvalue of 1.3 mean, a data point is 1.3unitsabove the line of best fit when referring to the line of best fit of a data set. This is because the residual value is positive.

So, Option A is correct.

Learn more about the line of best bit fit here:

brainly.com/question/10646034

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The right answer for the question that is being asked and shown above is that: "A data point is 1.3 units above the line of best fit."  a residual value of 1.3 mean when referring to the line of best fit of a data set is that A data point is 1.3 units above the line of best fit.

Kitchen flooring is sold at £8 per 1 metre length what is the cost for 80cm

Answers


it would cost 6.4
sorry I do not know how to put up that money sign
In this situation, I'd use a proportion: (8)/(100)=(x)/(80)

Multiply diagonally: 100x=640

Divide by 100 on both sides: x=6.4

Therefore, 80cm of kitchen flooring would cost £6.40.

Help please thank you. first answer choice is yes or no.
other answer choices are: 3 4 5 6

Answers

Hello there! Here are your answers:

Does Kerri's dot plot match the data in the tally table? No.

Look at any of the hours on the chart vs dot plot. Let's take 4 for example. In the tally table, there are 6 class mates. In the plot, there are 3. So no, it is not the same.

The answers for the other problems are in this order (since it's the number of circles on the dot plot at the given hour):

5 - classmates spent 3 hours at the park

3 - classmates spent 4 hours at the park

6- classmates spent 5 hours at the park

4 - classmates spent 6 hours at the park

I hope this was helpful and let me know if you need more help! :) Have a great day! :)

Answer:

the other guy is right

Step-by-step explanation:

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24 times 4 tons 2 pounds

Answers

24 x 4 tons and 2 pounds is:

96.02400 short tons

Hope I Helped!!!

The function d(h)=50+45hd(h)=50+45h represents the distance a family traveled, in miles, h hours after they stopped for lunch.What does the value 45 represent in this situation?

1.Before lunch, the family traveled at a speed of 45 mph.

2.The family drove 45 miles after they stopped for lunch.

3.The family drove 45 miles before they stopped for lunch.

4.After lunch, the family traveled at a speed of 45 mph.

Answers

Given the function d(h)=50+45 represents the distance a family traveled, in miles, h hours after they stopped for lunch. The value 45 represents the speed they are traveling in miles per hour. So if the function will be graph, the 45 represents the slope of the line.

 

After lunch, the family traveled at a speed of 45 mph.


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