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kompoz [17]
3 years ago
6

Write a polynomial function of least degree with integral coefficients that has the given zeros

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

x^{4} + 3x² - 4

Step-by-step explanation:

Note that complex zeros occur in conjugate pairs

If 2i is a zero then - 2i is a zero

The zeros are x = 1, x = - 1, x = 2i, x = - 2i, thus the factors are

(x - 1), (x + 1), (x - 2i) and (x + 2i)

The polynomial is expressed as the product of the factors, thus

f(x) = (x - 1)(x + 1)(x - 2i)(x + 2i) ← expanding in pairs

     = (x² - 1)(x² - 4i²) → i² = - 1

     = (x² - 1)(x² + 4) ← distribute

     = x^{4} + 4x² - x² - 4

     = x^{4} + 3x² - 4

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Examine the table below showing the merchandising sales and answer the questions that follow.
-BARSIC- [3]

Answer:

The mean amount spent = £14.80

The modal product is hoodies.

Step-by-step explanation:

Here

25 T shirts each costing £10 were purchased

Amount spent on T shirts = 25 × 10 = £250

30 key ring of £5 were purchased

Amount spent on key ring = 30 × 5 = £150

40 Hoodies for £25 each

Amount spent on Hoodies = 40 × 25 =£1000

30 CD's for £15 each

Amount spent on CD's = 30 ×15 = £450

Total amount spent = 250 +150 + 1000 + 450 = £1850

Total items purchased = 25 + 30 + 40 + 30 = 125

Mean amount spent = \frac{1850}{125}= 14.80

The modal product is Hoodies as the maximum number of hoodies were purchased.


6 0
3 years ago
Need help!!!!!!!!!!!!!!!!!!!!!!!!!!
Pani-rosa [81]

9514 1404 393

Answer:

  a) GH or HG

  b) KL

  c) YZ or ZY

  d) EF

Step-by-step explanation:

A segment or line can be named by naming two points on it in any order. The points naming a line segment are its end points.

A ray is named by first naming its end point, then any other point on the ray.

a) GH or HG

b) KL

c) YZ or ZY

d) EF

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=4-3%283%29%5E%7B2%7D%20%5C%5C%20%5Csqrt%7B1%2B5" id="TexFormula1" title="4-3(3)^{2} \\ \sqrt{1
yarga [219]
This would be.
-23√6 all over 6.
Or: around -9.39
5 0
2 years ago
(-2,y) and (2,4); slope: 1/4
Oduvanchick [21]

Answer:

y =3

......

.....

....

.....

8 0
2 years ago
I just want someone to check if i did all these correctly according to the directions
tekilochka [14]

Answer:

Yes

Step-by-step explanation:

For number 3 you answered them all correctly as well as number 4 and 5. Don't hesitate asking questions like these :D

6 0
3 years ago
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