Identify whether the following expression is a polynomial. If it is, identify the type according to the number of terms.
6x^2 + x + 1

Answers

Answer 1

Answer:

The expression is a polynomial.

Trinomial (according to the number of terms)

Step-by-step explanation:

Given the algebraic expression, 6x² + x + 1:

A term comprises of a product of numerical coefficient and one of more variables raised to powers.  Like terms have the same variables and exponents.

While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.  

A monomial is a single-termed polynomial.

A binomial is a polynomial with two terms.

A trinomial is a polynomial that has exactly three terms.

With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1,  is a trinomial, given that it has three terms:

6x² is the leading term with the highest degree or exponent. Specifically, the name of this term is quadratic, given its exponent of 2. x is a linear term, given its exponent of 1. 1 is a constant term.

Therefore, the given expression is a polynomial containing three terms, making it a trinomial.    


Related Questions

The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation? 3 4.

Answers

Dilation involves changing the size of a shape (i.e. a circle)

The scale of dilation is 4

The circle passes through the origin.

So, one of the points is (0,0)

When dilated it passes through the point (4,0).

The scale factor (k) is calculated by calculating the distance between the new point and the old point.

So, we have:

[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]

This gives

[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]

Simplify

[tex]\mathbf{k = \sqrt{16 +0}}[/tex]

Add 16 and 0

[tex]\mathbf{k = \sqrt{16}}[/tex]

Take the square root of 16

[tex]\mathbf{k =4}[/tex]

Hence, the scale of dilation is 4

Read more about dilation at:

https://brainly.com/question/13176891

A certain class has 25 students. If 8 students play football and, 10 plays baseball and 6 plays both, how many students play neither football nor baseball?

Answers

Answer:1

Step-by-step explanation:

8+10=18 18+6=24 25-24=1

Answer:

7

Step-by-step explanation:

8 fb

10 bb

6 both, but are among the 8 & 10

so 7

hope it helps

ANSWER QUICKLY
will give brainliest

Answers

Answer:

i only have 1

Step-by-step explanation:

Answer: Ok

Step-by-step explanation:

james has a rope that is 7 1/2 meters in length. He must cut the rope into 1/2 meter strips for a home improvement project he is working on. How many 1/2 meter strips can he cut?

Answers

Answer:

He can cut 15 1/2 meter strips.

Step-by-step explanation:

10 1/2 meter strips are 5 meters in length.

5 1/2 meter strips are 2.5 meters in length.

5 + 2.5 = 7.5 meters in length

what is the value of x that makes this equation true 3/4 + x = 1/8

Answers

The correct value of ''n'' in this equation will be -5/8.

Step-by-step explanation:

To solve this equation, we're going to isolate ''x'', and then we're going to subtract the two fractions.

But to subtract the two fractions with different denominators, let's represent the fractions with the least common multiple of the denominators, being 8.

Resolution:

[tex]\large \sf \dfrac{3}{4} +x=\dfrac{1}{8}[/tex]

[tex]\large \sf x= \dfrac{1}{8} -\dfrac{3}{4}[/tex]

[tex]\large \sf x= \dfrac{1-6}{8}[/tex]

[tex]\large \sf x= \dfrac{-5}{8}[/tex]

[tex]\boxed{\boxed{{\large \sf x=-\dfrac{5}{8} }}}[/tex]

So we can conclude that the value of ''x'' in this equation will be -5/8.

The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represent?
At 100 hours, there are 0 grams of the substance remaining.
At 100 hours, there are 100 grams of the substance remaining.
At 0 hours, there are 100 grams of the substance remaining.
At 0 hours, there is 1 gram of the substance remaining.

Answers

Answer:

At 0 hours, there are 100 grams of the substance remaining.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I just did it on ed

HELPPPPPP PLSSSSSSSSS

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Given, ∠POR=120

o

Hence, ∠POR=2∠PQR (half angle property)

∠PQR=

2

1

×120

o

=60

o

PQRS is a cyclic quadrilateral

∴∠PQR+∠PSR=180

o

∠PSR=180−60

∠PSR=120

o

If one piece of furniture was sold every 3/4 hour, how many pieces of furniture are sold in 3 hours

Answers

Answer:

Two pieces of furniture.

Step-by-step explanation:

3 hours times 1 piece of furniture every 3/4 hours:

3 · [tex]\frac{3}{4}[/tex] = [tex]\frac{3*3}{4}[/tex] = [tex]\frac{9}{4}[/tex] = 2.25

Assuming that pieces of furniture cannot be sold in parts, 2 whole pieces of furniture will be sold in 3 hours.

bob's tire outlet sold a record number of tires last month . one salesman sold 165 tires

which was 60% of the tires sold in the month what was the record number of tires sold

Answers

Answer:  275 tires

Step-by-step explanation:

0.60X = 165  [One salesman sold 60% of the tires sold.  X is the tires total sold]

X = 275 tires

solve pls brainliest

Answers

its 4in^3
because its cubed

Answer:

64in

Step-by-step explanation:

v=L×W×H

= 4×4×4

= 16 ×4

= 64in²

Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

y = - 4 x + 20

Step-by-step explanation:

The trail is 20 miles

Each hour you go 4 miles, so you subtract that each hour

You have a jar of jolly ranchers that contains: 15 cherry, 10 blue raspberries, 6 green apples, and 4 grapes.
Without looking, what is the probability that you select a green apple jolly rancher, eat it, then select a cherry?
The probability that both events occur is
which is
%. Round percent to the nearest whole
number.
Done and Review
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INTI
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Answers

Answer:

9 / 119 or 8%

Step-by-step explanation:

there are a total of 35 candies, of which 6 are green and 15 are cherry

P(Green) = 6/35

P(Cherry) = 15/35

P(Green,Cherry) = 6/35 · 15/34

= 9/119 or 7.6%

If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?

Answers

Answer:

2:4 or simplify and get 1:2

Step-by-step explanation:

2 tsp. of oil every 4 cups of flour.

True or False: The U.S. Bureau of the Census provides information that is useful for defining the denominator in rates.

Answers

Answer:

True

Step-by-step explanation:

is 540 or 630 closest to 594

Answers

Answer:

630

Step-by-step explanation:

630 - 594 = 36

594 - 540 = 54

630 is closest to 594

Answer:

630 is closer

Step-by-step explanation:

The number of units separating 540 and 594 is 54; that separating 594 and 630 is 36.  So 630 is closer to 594.

if 3/ 4 part of the total number of students in a class are girls how much percent are boys ​

Answers

Answer:

1

Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1

Answer:

1/4 or 25% are boys

Step-by-step explanation:

3/4 + 1/4 = 4/4

75% + 25% = 100%

If I saved 100 dollars every week from now until June how much money will I have ?

Answers

Answer:

2800 dollars probably because it's about 28 weeks and 2 days from now to June so if you multiply 100 by 28 the answer is 2800$

Answer:

Now we're the 14th of Nov 2021. The first week of June 2022 is in 28 week from now, so it's 100 dollars x 28 weeks = 2800 dollars

what is twin prime ? ​

Answers

Answer:

A twin prime is a prime number that is either 2 less or 2 more than another prime number

In AWXY, X = 32 inches, y = 96 inches and ZW=16°. Find the area of AWXY, to the
nearest square inch.

Answers

Answer:

the nearest square inch is 50

Solve for c.
c= -9 - 8c

Answers

c=-9-8c

+8c

9c=-9

c=-1

Hope this helps:D!!

The letter C is equal to negative one.

c = -1

Hope this helps!

Here you go ☺️ I NEED HELP SO HELP PLS

Answers

Answer:

the information above is not suffi

Step-by-step explanation:

hope it helps if wrong sorry

Answer:

The median height for tree 1 is greater.

Step-by-step explanation:

The height of tree 1 is greater therefore I believe the median will also be greater. I hope this helps.

find the solution to the system of equations

-9x+8y=-26

-9x-6y=-12

first answer gets brainliest! :)

Answers

Answer: y=-1 and x=2

Step-by-step explanation:

-9x+8y=-26

-9x-6y=-12

Subtract

14y = -14

Divide by 14

Y=-1

Substitute y=-1 into the equation

-9x-6(-1)=-12

-9x+6=-12

Subtract 6

-9x=-18

Divide by -9

X=2

A bowling special costs $8.50 per hour for each adult and $5.00 per hour for each child one adult and two children go bowling what is the equation that shows the relationship between cost In dollars and time

Answers

Answer:22$

Step-by-step explanation:

2x8.50 = 17+5 = 22$

How long do they bowl

Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?
Bernard ate a little less than One-half of the pizza.
Bernard ate a little more than One-half of the pizza.
Bernard ate a little less than Two-thirds of the pizza.
Bernard ate a little more than Two-thirds of the pizza.

Answers

Answer:

B.

Step-by-step explanation:

The answer is choice B!





.

I wmat to sleep been doing work for an hour help me out

Answers

Answer:

A. 23, 37.....

B. 26, 42......

Step-by-step explanation:

have a great day!

The dimensions of a carriage are:
height = x + 3 feet, length = 10x + 5 feet, and width= 2x-1 feet. If the volume of the carriage is 1050 cubic feet, what is the value of x?​

Answers

Answer:

Step-by-step explanation:

length * width * height = 1050 cubic ft

(10x + 5)* (2x -1) * (x +3) = 1050

(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)

                       = 10x*2x - 10x*1 + 5*2x  - 1*5

                       = 20x² - 10x + 10x - 5 = 20x²  - 5

(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)

                               =20x²*(x +3) - 5*(x +3)

                               = 20x³ + 60x² - 5x - 15

20x³ + 60x² - 5x - 15 = 1050

20x³ + 60x² - 5x - 15 - 1050 = 0

20x³ + 60x² - 5x - 1065 = 0

By trial and error method , (x  -3 ) is a factor

Synthetic method:

3     ( 20    60       -5           -1065

      (          60        360        1065

         20   120        355           0

20x² + 120x + 355 = 0

Divide the equation by 5

4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.

So, value of x = 3

height = 3+ 3 = 6 ft

Length = 10*3 + 5 = 30 + 5 = 35ft

Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft

Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft

3 pounds of peanuts for $7. 50. How much is the cost per pound?.

Answers

It’s 1.333333333333333 per pound

7,50 divided by three

Geometry- Copy and complete the statement.​

Answers

Answer:

X+y over y

Step-by-step explanation:

X+y over y

Hope it helps

If Vincent travels 96 miles in 1.5 hours. What is
his rate of speed?

Answers

Answer:

64 Miles per hour

Step-by-step explanation:

hope this helps!

7/3, 8/9, 12/5 order from smallest. please explain me 8/9 as its very confusing. i will give points and brainliest answer to nicly explained answer.

Answers

Answer:

8/9,7/3,12/5

Step-by-step explanation:

8/9 is smallest because the the numerator(upper number)is smaller than the denominator (which is the bottom number)so the value will be smaller than 1 unlike the other two fractions their numerator is bigger than the denominator so the value of them will be bigger than one

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