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Gala2k [10]
3 years ago
7

What is the least possible degree of a polynomial that has roots -5, 1+4i, and -4i

Mathematics
1 answer:
N76 [4]3 years ago
3 0
If complex coefficients are allowed, the answer is 3.

If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.

Root -5 is real, so that is 1 root, and degree 1.

Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.

Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.

Answer: The least possible degree is 5 with real coefficients.
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quester [9]
12 are tankesr
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12/40
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3/10=tankders
10/10-3/10=7/10
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3 0
4 years ago
The sum of three consecutive odd integers is 195. Find the three integers.
Anettt [7]
Good afternoon, 

x= first odd integer 
x+2 = second odd integer
x+4= third intenger

The sum of the trhree integer is 195, so:

x + (x+2) + (x+4) = 195
3x = 195 - 4 - 2
3x=189
x= 63

Then the Answer is: 63, 65 and 67
8 0
3 years ago
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WRITING TO EXPLAIN, HOW COULD YOU USE 5 X 6 =30 TO FIND THE PRODUCT <br> OF 6 X6 ?
Vikentia [17]
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8 0
4 years ago
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1. Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 fee
alexandr1967 [171]

Answer:

<em>(a) 3 inches </em>

<em>(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches</em>

Step-by-step explanation:

<u>Scaling </u>

We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.  

(a)

Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is

6 feet*1 inch/2 feet = 3 inches

(b)

The width of the model is 5 inches, keeping the same scale it means the real length is

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The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper

6 0
3 years ago
A recipe needs 4/5 cups of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?
DedPeter [7]

Answer:

1 1/5 cups of butter

Step-by-step explanation:

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12/5 / 2

12/5 x 1/2=1 1/5

7 0
3 years ago
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