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klio [65]
3 years ago
9

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i?

Mathematics
2 answers:
Helga [31]3 years ago
5 0

Answer:

f(x) = x3 – 3x2 + 4x – 2

Step-by-step explanation:

astra-53 [7]3 years ago
4 0

x³ - 3x² + 4x - 2

complex roots occur in conjugate pairs

1 + i is a root then so is 1 - i

the factors of the polynomial are therefore

f(x) = (x - 1 )(x - (1 + i))(x - (1 - i))

     = (x - 1 )(x² - 2x + 2 ) ( expand factors and simplify )

     = x³ - 3x² + 4x - 2



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Regular polygons have all angles equal and all sides equal, however irregular polygons fail to follow one of the laws.
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n oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic fe
Eddi Din [679]
For this case the volume of the box is given by:
 V = l * w * h
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Need some help here please...
vichka [17]

Answer:

The answer is (3,2) or x=3 and y=2

Step-by-step explanation:

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A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $
alexira [117]

Answer:1.627\times 1.627\times 1.88\ ft^3

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume V=l^2\cdot h

h=\frac{V}{l^2}

volume V=5 ft^3

Area of side wall is A_s=l^2

Area of top Wall A_t=l\times h

Area of bottom A_b=l\times h

Cost of bottom wall c_b=20\times l\times h=20lh

Cost of top wall c_t=50\times l\times h=50lh

Cost of side walls c_s=4\times l^2\times 10=40l^2

total cost C=c_s+c_t+c_b=20lh+50lh+40l^2

C=70lh+40l^2

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differentiate C w.r.t l to get minima or maxima

\frac{\mathrm{d} C}{\mathrm{d} l}=0

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l^3=\frac{350}{80}

l=1.627 ft

h=\frac{5}{2.648}

h=1.88 ft

Dimension of Box is 1.627\times 1.627\times 1.88\ ft^3

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3 years ago
20 - 4x = 2(4 - 8x) This needs solving
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20 - 4x = 2(4 - 8x)

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add 16x to both sides

20 + 12x = 8

Subtract 20

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Divide by 8

x = -1

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4 years ago
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