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Mathematics : asked on ashley1460
 04.06.2022

What is the complete factorization of the polynomial below? x^3 + 3x^2 + 9x + 27
A. (x-3)(x+3)(x +31)
B. (x-3)(x+31)(x-31)
C. (x+3)(x + 31)(x+31)
D. (x+3)(x+3)(x-31)

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09.07.2023, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
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What is the complete factorization of the polynomial, №18009947, 04.06.2022 02:56

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Rajat Thapa
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Mathematics, DAV Post Graduate College
6 899 answers
4.9 . rating
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What is the complete factorization of the polynomial, №18009947, 04.06.2022 02:56

Step-by-step explanation:

What is the complete factorization of the polynomial, №18009947, 04.06.2022 02:56

Perhaps there is a typographical errour in your answer choises.

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Faq

Mathematics
What is the complete factorization of the polynomial below? x^3 + 3x^2 + 9x + 27 A. (x-3)(x+3)(x +31) B. (x-3)(x+31)(x-31) C. (x+3)(x + 31)(x+31) D. (x+3)(x+3)(x-31)
Step-by-step answer
P Answered by Master

x^3 + 3x^2 + 9x + 27 \\ \rightarrow ( {x}^{3} + 3 {x}^{2}) +( 9x + 27) \\ \rightarrow {x}^{2} (x + 3) + 9(x + 3) \\ \rightarrow ( {x}^{2} + 9)(x + 3) \\ = ({x}^{2} + {3}^{2} )(x + 3) \\ = (x + 3)(x + 3)(x + 3)

Mathematics
Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
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Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?
Step-by-step answer
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The answer is in the image 

The answer is in the image 
Mathematics
An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

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A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

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Thomas got a haircut from the barber. If the haircut costs $32 and he wants to leave a 18% tip, how much will he pay in total?
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
10 years ago a father was ten times as old as his son. The father is 40 now. How old is the son now?
Step-by-step answer
P Answered by PhD

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

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