A student is given the following polynomial and is asked to answer questions about it:

x5−198x+5x12+4−2x6
The polynomial contains how many terms?
List all of the coefficients of the polynomial.
What is the polynomial’s constant?
What is the leading coefficient of the polynomial?
What is the degree of the polynomial?

Answers

Answer 1

Answer:

Step-by-step explanation:

A term is a combination of letters and/or numbers separated by a + or a - sign. Our polynomial has 5 terms.

A coefficient is a number stuck to a letter...it HAS to be stuck to a letter to be a coefficient. Our coefficients are 1, -198, 5, and -2 (notice I let out the 4).

That's because a constant is a number NOT stuck to a letter. The 4, then, is the only constant in this polynomial.

The leading coefficient is the number that is stuck to the highest-degree variable. Our highest degree variable is a 12 in 5x^12. So the leading coefficient is 5. In order to have a polynomial in standard form, we always list the terms in order of descending powers (highest power to lowest).

The degree is also the same as the highest power in our polynomial. Ours is a 12th degree.


Related Questions

PLEASE HELP MEEEEE




If 10 g of sugar is taken from 200 g of sugar water with 20% sugar content, how many g of sugar will remain?​

Answers

Answer:

30g of Sugar

Step-by-step explanation:

200g of sugar water with 20% sugar content. 20% of 200 is 40. (200/5)

40g of sugar in the sugar water, 10 g taken. 40-10=30

Hope this helps!

:)

PLEASE ANSWER ASAP!!!

Answers

Anwser :  

125

Explanation:

Have a nice day :)

It is 125 if I’m not wrong

I WILL MARK BRAILIEST FOR FIRST CORRECT ANSWER !!!

Answers

Answer:

Step-by-step explanation:

given:

x=3  and   y=-4

to find:

4x-y

substitute the value of x and y

=4*3-(-4)

=12+4

=16

-x+y

substitute the vaue of x and y

=-3+(-4)

=-3-4

=-7

7-y-x

substitute the value of x and y

=7-(-4)-3

=7+4-3

=11-3

=8

Hope this helps u !!

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Answers

Answer:

4) y = x

Let me know if my answer is correct!

Hope this helps!

Plz help!!! I will give brainliest!!! No links!! Also plz explain how you got ur answer!

Lainee brought a book to read on the way to California. Once we go to the hotel, she had read 5/6 of it. What fraction of the book does she have left to read?

Answers

Answer:

1/6

Step-by-step explanation:

Because because there are six books in total and she only red 5 in the way

1/6th left because she divided her book into 6ths and she red 5/6 and 5-6 is 1 so that means she still has 1/6 of the book to read

Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endpoints of line AB are located at (0, -7) and (8, 8), what is the length of line A'B'?
Use the distance formula to help you decide (picture added)

Answers

Answer:

A'B' = 34 units

Step-by-step explanation:

Since the dilatation is centred at the origin , then multiply the coordinates by 2

A' = (2(0), 2(- 7) = (0, - 14 )

B' = (2(8), 2(8) = (16, 16)

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A'(0, - 14) and (x₂, y₂ ) = B'(16, 16)

d = [tex]\sqrt{(16-0)^2+(16+14)^2}[/tex]

   = [tex]\sqrt{16^2+30^2}[/tex]

   = [tex]\sqrt{256+900}[/tex]

   = [tex]\sqrt{1156}[/tex]

   = 34

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Answers

Can we be a friends

Tomorrow is his Birthday , so let's celebrate his Birthday

Answer:

ako HAHAHA may acc kaba sa brainly.ph


Two angles of a triangle measure 57 and 46. What is the measure of the largest exterior angle of the triangle?
A.103
B. 123
C.134
D.144

Answers

Answer:

A. 103°

Step-by-step explanation:

57° + 46° =103°

This shows that the third angle in the triangle is 180°-103°=77°

Therefore the largest exterior angle is 180°-77°=103°

a.f(x+2)
b.f(x-5)
c.f(x)+2
d.f(x)-5

Answers

Answer:

Answers= B

Step-by-step explanation:

aaychchdgfugifhfdfddzrs

I’ll mark Brainliest if correct

Answers

Answer:

ace me queen me, king incl  black incl

Step-by-step explanation: hope it helped

What is the output of the following function for x= 1?

F(x) = -x^3 - 2x^2+7 x-10
A.-5
B.6
C.0
D.-6​

Answers

Answer:D.-6

Step-by-step explanation: -(1)^3-2(1)^2+7(1)-10

Answer:

D

Step-by-step explanation:

For an input of x = 1 , f(1) is the output.

Substitute x = 1 into f(x) , that is

f(1) = - 1³ - 2(1)² + 7(1) - 10 = - 1 - 2 + 7 - 10 = - 6 → D

Mr. Cooper is building a playset in his backyard for his kids. He has a made a scale drawing of the playset to help him estimate the amounts of building materials he needs to purchase. Part of the playset includes a rectangular sandbox, which has a length of 5 feet and a width of 7 feet. On the scale drawing, the length of the sandbox is 2 A. The scale used in the drawing is
______ = 1 foot.
B. On the scale drawing, the width of the sandbox is ____ inches.
C. If Mr. Cooper decides to make a new scale drawing of the playset, in which he uses a scale of inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of ____
1st blank- 3/8 inch, 11/30 inch, 1/2 inches, 2 inch
2nd blank- 15 inch, 2 1/60, 2 13/16, 3 3/4
3rd blank- 1/2, 1 1/2/2 1/4

.

Answers

Answer:

its c

Step-by-step explanation:

mark brainlist

75 percent of $82 i know the answer how do i solve helppppp

Answers

Answer:

61.5

Step-by-step explanation:

75% of 82 = [tex]\frac{75}{100}*82[/tex]

                 = 0.75 * 82

                 = 61.5

Answer:

$61.50

Step-by-step explanation:

You turn 75% into 0.75. Then you multiply that by the 82 dollars. Hope that helps.

What is the value of x in the figure shown below?
E
3.9
20
3.9
36
А.
3.1
3.1
49°
D
B

Answers

Answer:

36 = x

Step-by-step explanation:

The triangles are congruent by Side Angle Side, so the angles must measure the same

Angle C = Angle E

36 = x

Lyndsey ordered her school supplies online. They were delivered to her house in the box shown below.
9 in
10 in
15 in
What is the volume of the box, in cubic inches?

Answers

Answer:

1350 cubic inches

Step-by-step explanation:

9*10*15

give the answer in cm^2


p.s the answer is not 66

Answers

Answer:

45 cm^2

Step-by-step explanation:

area of the figure

split the figure and form to figure rectangle and square

for rectangle

length = 6 cm + 3 cm

=9 cm

breadth = 4 cm

area of rectangle = l*b

=9 cm * 4 cm

=36 cm^2

for square

length =3 cm

area of square = (3 cm)^2

=9 cm^2

area of figure = area of rectangle + area of square

=36 cm^2 + 9 cm^2

=45 cm^2

Enter the value of p so that the expression 18n + 27 is equivalent to p(2n + 3)

Answers

Answer:

P = 9

Step-by-step explanation:

When P = 9, we could multiply 9 to (2n+ 3).

We would get:

18n + 27

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Have a great summer :)


still need help with this!!! please help me ASAP

Answers

Answer:

they are similar by a scale of 3/2 or the big traingle is 1 and a half times bigger than the smaller triangle

Step-by-step explanation:

the scale is 3/2 because:

12/8 is 3/2

15/10 is 3/2

9/6 is 3/2

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Answers

Answer: 23692929

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex](25x-4)^8[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

which of the following graphs shows the solution to the system of equations?
y=5x-1
y=x+3

Answers

Answer:

sorry,but there is no graph ...its difficutlt to say u the ans

The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer

Answers

Answer:

216 square feet

Step-by-step explanation:

Cement patio outside of lawn

(36*13)-(28*9)

468-252

216

Answer:

216

Step-by-step explanation:

The formula for the volume of a cone is .

Solve  for b, the base of the cone.

Answers

Answer is D.
V= 1/3bh
multiply both sides by 3 to eliminate the fraction
3V= bh
b = 3V under h > D

What is the product? (x + 3)(2 x minus 1) 2 x squared minus 3 2 x squared + 6 x 2 x squared + 5 x minus 3 2 x squared + 6 x minus 3

Answers

Answer:

2x² + 5x - 3

Step-by-step explanation:

(x + 3)(2x - 1)

Use FOIL

First terms

x * 2x = 2x²

Outer terms

x * -1 = -x

Inner terms

3 * 2x = 6x

Last terms

3 * -1 = -3

---------------------

FOIL

2x² - x + 6x - 3

Combine like terms

2x² + 5x - 3

eu quero resposta de Química de verdadeiro ou falso​

Answers

neneekebekehekeffhdejhrr

Answer:

create a true or false chemistry question

Step-by-step explanation:

this is the translation

The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

What is the volume of this cylinder? ​ 6m, 7m

Answers

Answer:

[tex]198\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.

What we're given:

[tex]r[/tex] of 3[tex]h[/tex] of 7

Substituting given values, we get:

[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.

Answer:

Volume of cylinder is 197.82 m ³.

Step-by-step explanation:

Here,

We have given that

Diameter of cylinder = 6 m

So, Radius of cylinder, r = 6 / 2 = 3m

Height of cylinder , h = 7 m

Value of π = 3.14

To find :-

Volume of cylinder

Solution :-

We know that,

Volume of cylinder = π × r ² × h

Substitute the values

Volume of cylinder = 3.14 × ( 3m ) ² × 7 m

volume of cylinder = 3.14 × 9m² × 7 m

Multiply , we get

Volume of cylinder = 197.82 m ³

Therefore, The volume of cylinder id 197.82 m ³.

14 of the kids running the Winterland Fun Run have jingle bells on their shoes. If 56% of the kids running the Winterland Fun Run have jingle bells on their shoes, how many total kids are running in the Winterland Fun Run?

Answers

Answer:

25 kids

Step-by-step explanation:

Let k = total number of kids running

this equation can be derived from the question

56% x k = 14

0.56 x k = 14

divide both sides of the equation by 0.56

k = 14/0.56

k = 25

Answer:

25

Step-by-step explanation:

inverse variation equation that relates x and y.

Answers

Answer:An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .

Step-by-step explanation:

Subtract -5x2 + 10x – 1 from 6x2
X + 3.

Answers

Answer:

Can you add a screenshot of the equations? It's hard to figure it out in this format and I don't want to give you the wrong answer.

Step-by-step explanation:

2 x X x 3 x y simplified

Answers

Answer:

6xy

you just multiply our 2 regular numbers and put the x and y there

Answer:

6xy

Step-by-step explanation:

multiply all of them

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