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Mamont248 [21]
3 years ago
7

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros −3 and 5

+i.
Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

<em>f(x) = x² (2+i)x-15-3i</em>

Step-by-step explanation:

Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))

Multiplying both factors

f(x) =  (x+3)(x-(5+i))

f(x) = (x²-(5+i)x+3x -3(5+i))

f(x) = x² - (5+i- 3)x -15-3i

f(x) = x² (2+i)x-15-3i

<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>

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Please help me with this problem. I have tried many times and have gotten it wrong. I need help especially on the last part. Can
Arlecino [84]

1) The domain is all the possible x values in the function so it would be [-4,4]

2) There are only 3 zeros shown on the graph and they are (-2, 0) (0, 0) (2, 0) the zeros are the value of x when y = 0.

3)The function is positive/Negative is asking for what x values make the y values positive aka interval notation. The function is positive if x = (0, 2) because 0 and 2 aren't included you use parentheses () instead of brackets []  

The function is negative if x [-4, -2), (-2,0), (2,4]

5 0
3 years ago
Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
2 years ago
take a hiset math test need help refresh with my study guide.and refresh help calculator how to use a scientific one​
n200080 [17]

Answer:

B) 4,320

Step-by-step explanation:

You would first find the volume of the triangular prism using this formula:

V = 1/2 x A x C x H

A = 3 C = 6 H = 24

V = 1/2 x 3 x 6 x 24 = 216 cubic feet

Since there are 20 pounds of snow per cubic foot, you multiply the cubic feet (216) by the pounds of snow per cubic foot (20):

216 x 20 = 4,320 pounds

4 0
3 years ago
What is the total weight of 10 buses that each weigh 12 1/3 tons?
Lapatulllka [165]

Answer:

123 tons

Step-by-step explanation:

1) Convert 12 1/3 tons to a decimal - 12.3

2) multiply 12.3 by 10 - 123 tons

7 0
3 years ago
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PLZ HELP! IM GIVING EXTRA POINTS!
zhenek [66]
I hope this helps you




3 and (4r+y)
7 0
4 years ago
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