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Hitman42 [59]
3 years ago
10

Find the polynomial of least degree in standard form with the given roots: x = 2, 3i

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

x^3 - 2x^2 + 9x - 18.

Step-by-step explanation:

The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.

So we have:

P(x) = (x - 2)(x - 3i)(x + 3i)

= (x - 2)(x^2 - 9i^2)

= (x - 2)(x^2 - 9*-1)

= (x - 2)(x^2 + 9)

= x^3 + 9x - 2x^2 - 18

= x^3 - 2x^2 + 9x - 18.

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The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.
elixir [45]
12 and 14

12^2=144
14^2=196

144+196=340
4 0
3 years ago
Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.
Oduvanchick [21]
44.59 divided by 5.25= 8.49
Hope this helps!!
6 0
3 years ago
Read 2 more answers
Kono divides The numerator and the denominator of 4872 by the greatest common factor to simplify the fraction in one step by wha
lakkis [162]

Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

7 0
3 years ago
Justin wants to make a necklace with 72 beads. He knows that 12 beads
strojnjashka [21]
Answer: 60.96 cm

12 beads take up 4 inches

72/12 = 6

Hence, 72 beads take up 4 * 6 inches

72 beads take up 24 inches

24 inches = 24 * 2.54

24 inches = 60.96

4 0
3 years ago
Read 2 more answers
1. 3+(-8)=
kondor19780726 [428]

Answer:

1. -5

2.10

3.1

4.-10

5.18

6.10

7.4

8.-1

9.1

10.89

11.3

12.10

13.13

14.-2

15.-7

16.14

17.-8

18.-6

19.-8

20.-22

Step-by-step explanation:

4 0
3 years ago
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