What is the greatest common factor of 5x^6+35x^4+15x^3

Answers

Answer 1
Answer:

5 will go into everything. That is one of the factors.

x^3 is in everything as well.

The highest common factor is 5x^3

(5x^6)/(5x^3) = x^(6-3) = x^3

(35x^4)/(5x^3) = 7x^(4-3) = 7x

(15x^3)/(5x^3) = 3*x^(3-3) = 3*1 = 3

So the greatest common factor (determined by the last term) is 5x^3

And the left over polynomial is x^3 + 7x + 3


Related Questions

A person's heart rate is 65 beats per minute at rest. It increases by 12 beats per minute for each ofthe first 10 minutes of exercise. What is the person's heart rate after 6 minutes of exercise?
PLEASE HELP!!! PLATO ALGEBRA 2
Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? Table A x -8 -3 0 6 y 24 4 9 72 Table B x 9 15 24 38 y -14 -16 53 29 Table C x 15 24 24 100 y -16 53 29 7 Table D x -8 6 0 6 y 24 4 9 72 a. Table A and Table C b. Table A and Table B c. Table B and Table C d. Table C and Table D Please select the best answer from the choices provided
use a calculator to find an approximation for each power. give the maximum number of decimal places that your calculator displaysround this value to ,7 decimal places,.
Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?D.y=+or-sqrt28+4x so the answer is D.

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 25%, and the final exam is worth 29%. Compute the weighted average for the following scores: 60 on the lab, 81 on the first major test, 69 on the second major test, and 79 on the final exam. Enter your answer as a whole number.

Answers

Answer:

Weighted\ Average =  73

Step-by-step explanation:

Given

Lab = 21\%

Tests = 25\%

Exam = 29\%

Lab\ Score = 60

First\ Test = 81

Second\ Test = 69

Exam = 79

Required

The weighted average

To do this, we simply multiply each score by the corresponding worth.

i.e.

Weighted\ Average =  Lab\ worth * Lab\ score + Tests\ worth * Tests\ score.....

So, we have:

Weighted\ Average =  21\% * 60 + 25\% * 81 + 25\% * 69 + 29\% * 79

Using a calculator, we have:

Weighted\ Average =  73.01

Weighted\ Average =  73 --- approximated

According to a survey conducted in a certain year by the Federal Communications Commission (FCC) of 3005 adults who were home broadband users, 34.5% of those surveyed had switched their service over the past 3 years. Of those who had switched service in the past 3 years, 51% were very satisfied, 39% were somewhat satisfied, and 10% were not satisfied with their service. Of the 65.5% who had not switched service in the past 3 years, 48% were very satisfied, 43% were somewhat satisfied, and 9% were not satisfied with their service.(a) What is the probability that a participant chosen at random had not switched service in the past 3 years and was very satisfied with their service?


(b) What is the probability that a participant chosen at random was not satisfied with their service?

Answers

Answer:

(a) The probability is 31.44%

(b) The probability is 9.345%

Step-by-step explanation:

The probability for part (a) is calculated as a multiplication of:

65.5% * 48% = 31.44%

Where 65.5% is the percentage of participants that had not switched service in the past 3 years and 48% are the percentage of those 65.5% that were very satisfy. So, the 31.44% of the participants had not switched service in the past 3 years and were very satisfied with their service.

Then, for part b, we have 2 cases:

  • Case 1: A person that had not had switched service in the past 3 years and was not satisfied with their service
  • Case 2:A person that had not switch in the past 3 years and was not satisfied with their service.

So, the probability is calculated as a sum of these two probabilities.

Therefore, the probability for case 1 is calculated as:

34.5% * 10% = 3.45%

Where 34.5% is the percentage of participants that had switched service in the past 3 years and 10% are the percentage of those 34.5% that were not satisfy.

At the same way, the probability for case 2 is:

65.5% * 9% = 5.895%

Finally, the probability that a participant chosen at random was not satisfied with their service is the sum of 3.45% and 5.895%. That is:

3.45% + 5.895% = 9.345%

PLEASE HELP ASAP!!! :)Using the remainder theorem, what is the remainder of the quotient of x^3– 6x^2 + 4x– 5 and 1 - 3?

A.88
B. -20
c.-74
D. 34

Answers

The remainder of the quotient is -20.

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x³ - 6x² + 4x - 5 and x - 3

Now,

x - 3 ) x³ - 6x² + 4x - 5 ( x² - 3x - 5

         x³ - 3x²

       (-)    (+)

             -3x² + 4x

             -3x² + 9x

          (+)      (-)

                    -5x - 5

                    -5x + 15

                (+)      (-)

                          -20

Thus,

The remainder is -20.

Learn more about expressions here:

brainly.com/question/3118662

#SPJ2

Answer:

The correct answer is B. -20.

Step-by-step explanation:

I got it right on the Edmentum test.

Four friends want to share two largepizzas equally. Each pizza is cut into
ten slices. How many slices will each
person get?

Answers

Answer: 5

Step-by-step explanation:

2 pizzas ten slices eatch, so 20 slices. 20 slices devided by 4 is five. :)

Can you please help im running out of time9) -23 - (-14)= *

Answers

ANSWER: -9

HOW:

- 23 - ( - 14)
= -23 + 14
= - 9

On a recent trip to the convenience Store you picked up 2 gallons of milk five bottles of water and eight snack size bags of chips your total was $25 if a bottle of water cost twice as much as a bag of chips and a gallon of milk cost $1.50 more than a bottle of water how much does each item cost

Answers

Given

2 milks + 5 waters + 8 chips = $25

water cost = 2×chips cost

milk cost = $1.50 + water cost

Find

The cost of each: milk, water, chips.

Solution

Let m, w, and c represent the costs of milk, water, and chips, respectively. We can write the given relations more compactly as

... 2m + 5w + 8c = 25

... w = 2c

... m = w + 1.5

We can substitute for w everywhere using the second equation. This gives us

... m = 2c +1.5

... 2(2c+1.5) + 5(2c) + 8(c) = 25

... 22c + 3 = 25

... 22c = 22

... c = 1

Then

... m = 2·1 + 1.5 = 3.5

... w = 2·1 = 2

A gallon of milk costs $3.50, a bottle of water costs $2.00, a bag of chips costs $1.00.

$3.50 is how much the milk costs, a bottle of water is $2.00, and the chips are  $1.00.