Find the sum and the product of the given polynomials in the given polynomial ring. f(x) = 2x² + 3x + 4, g(x) = 3x² + 2x + 3 in

Answers

Answer 1

The product of the polynomials f(x) and g(x) is 6x⁴ + 13x³ + 23x² + 18x + 12.

The given polynomials are f(x) = 2x² + 3x + 4 and g(x) = 3x² + 2x + 3 in some polynomial ring.

To find the sum of the polynomials, we add the like terms:

f(x) + g(x) = (2x² + 3x + 4) + (3x² + 2x + 3)

= 5x² + 5x + 7

Therefore, the sum of the polynomials f(x) and g(x) is 5x² + 5x + 7.

To find the product of the polynomials, we multiply each term in f(x) by each term in g(x), and then add the resulting terms with the same degree:

f(x) * g(x) = (2x² + 3x + 4) * (3x² + 2x + 3)

= 6x⁴ + 13x³ + 23x² + 18x + 12

Therefore, the product of the polynomials f(x) and g(x) is 6x⁴ + 13x³ + 23x² + 18x + 12.

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Related Questions

Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.

What is the solution of the equation?
(its in the attachment)

Thank u lovely

Answers

Step-by-step explanation:

This is a edit. The answer is 30. Brainly won't save my work.

[tex]3 \sqrt[5]{ {(x + 2)}^{3} } + 3 =27 \\3 \sqrt[5]{ {(x + 2)}^{3} } =24 \\ \sqrt[5]{ {(x + 2)}^{3} } = 8 \\ {(x + 2)}^{3} = {8}^{5} \\( x + 2) = \sqrt[3]{ {8}^{5} } \\ ( x + 2) = 32 \\ x = 30[/tex]

wouldnt x+x be 2x thanks

Answers

x + x is 2x. x times x is x squared or x^2 (x to the power of 2.)

Answer:

Wym?

---‐---------------–---------—,-------

I'll answer it on the comment or are u just playing?

Shahida is 21 years old and Nasreen is 15 years old to Shahida after how many years will Shahida be twice as old as nasreen​

Answers

Answer:

27 years

Step-by-step explanation:

21 × 2 = 42

42 - 15 = 27

On the blueprint of a house and 35 mm represents 10 m an actual length of a living room is 9 m what is the length on the blueprint

Answers

Answer:x  31.5 mm

Step-by-step explanation:I hope this helps

The actual length of the room on the blueprint  31.5mm.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question

35mm represents 10m

⇒ 1m = 35/10

1m = 3.5mm

Therefore,

The actual length of the room on the blueprint = 3.5 × 9 = 31.5mm

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GIVING 10 POINTS
PLEASE HELP!
What does it mean when two expressions are equivalent?

Answers

Answer:

When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!

Select the correct answer.
A ball is thrown up from a height of 400 feet, and the height (in feet) of the ball at any time t, in seconds, is given by the function shown below.

[tex]h(t)=-16t^{2}+400[/tex]

Find the equation for the axis of symmetry of the given function.
A.
t = 0
B.
t = 5
C.
t = 6
D.
t = 4

Answers

Answer:

A

Step-by-step explanation:

Because i took the the test

Fay has a lemonade stand.
She spends £42 on ingredients.
She sells each glass of lemonade for £1.20.
If she sells 50 glasses of lemonade, what is her total profit?

Answers

her total profit is 3
Step-by-step explanation:
1.50 x 30 = 45
to find total profit - 45-42= 3

Answer:

she made a profit of 18$

50*1.2=60-42=18

Step-by-step explanation:

Use the Distributive Property to rewrite the algebraic expression. 9(3p + 6)

wrong answers reported

Answers

Answer:

27p+54

Step-by-step explanation:

Multiply 9 to all the numbers inside the parenthesis!

Hope this helps! :)

Which of the following best describes the equation below?

y = -3x - 13
A.
both linear and nonlinear
B.
nonlinear
C.
neither linear nor nonlinear
D.
linear

Answers

Answer:

d. linear

Step-by-step explanation:

using the format y=mx+b

A ball falls from the top of a building. When it strikes the ground its velocity is 10 m/s. It took 5 seconds to fall. What is its acceleration? _____ m/s2

Answers

Answer:

a = 2 m/s²

Step-by-step explanation:

[tex]a = \frac{v-u}{t}[/tex]

where v is the final velocity, u is the initial velocity, and t is the time it takes. the intial velocity is always 0 m/s. given the equation, we subsitute:

[tex]a = \frac{10m/s - 0 m/s}{5s}[/tex]

a = 10m/s ÷ 5s

a = 2 m/s²

Brandy has 8 pounds of candy. She wants to give each of her friends 1/3 pound. To how many friends can Brandy give candy?

Answers

He can give 24 friends some candy

There are 21 animals living in the barn. Some are chickens and some are horses. There are 46 legs in all. How many chickens and how many horses are in the barn?

Answers

Answer:

7 horses,and 6 chickens

the questipn is: Given segment AB with endpoint (-2,-2) and (8,4), what is the coordinate of the midpoint?​

Answers

Answer:

(3,1)

Step-by-step explanation:

If you plot both of the points on a graph you get another straight line.

When you connect the dots you get 3,1 as the midpoint of the two segments :))

Will give brainliest!

Answers

A) x = -4
B) x = 4
C) y = 4
D) y = -2
E) y = -3/4x + 1

Answer:

Step-by-step explanation:

Equation for line a:

x = - 4

Equation for line b:

x = 4

Equation for line c:

y = 4

Equation for line d:

y = - 2

Equation for line e:

y = − 0.75x + 1

2hours 24mins in fraction​

Answers

Answer:

2 2/5

Step-by-step explanation:

2 24/60 = 2 2/5

there are 60 minutes in an hour so you can just put 24 over 60 and the two outside to write it as a mixed number fraction then reduce. If you want to write it as a improper fraction you can multiple 2 times 5= 10 then add 2 to get 12/5

help please
− 20 + (−13) − 7 − (+11) + 14 =​

Answers

Answer:

-20+(-13)-7-(+11)+14= -37

Step-by-step explanation:

we make first : +(-13)= -13 then -(+11)=-11

then we calculate all the nb we have

-20-13-7-11+14= -37

que es la radicasion ​

Answers

Answer:

La radicación es la operación inversa a la potenciación. Y consiste en que dados dos números, llamados radicando e índice, hallar un tercero, llamado raíz, tal que, elevado al índice, sea igual al radicando. En la raíz cuadrada el índice es 2, aunque en este caso se omite.

can someone solve this

Answers

the answer is 5r^2 -1
hope this helps !

6w= 12+6w divided by 2

Answers

w = 2. Don’t listen to the other guy!

Answer:

12w=12 divided by 2

12w=6

=2

Step-by-step explanation:

please help!!

List the temperatures shown on the table in order
from least to greatest:
Temperature (°F)
Thursday
-8
Friday
7
Saturday
18
Sunday
-11

Answers

sunday: -11

thursday: -8

friday: 7

saturday: 18

‘Basic exponent rules’ simplifying to a single power .

Answers

Answer:

64

Step-by-step explanation:

Does anyone know how to solve this?

Answers

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

only 10-11 please, giving brainliest!

Answers

10) X + 1
Y +8
1/1

11) X + 2
Y + 2
1
I don’t know how u want the answer

12-b=12.5. Solve each equation

Answers

Answer:0.5
Explanation: 12.5-12=0.5
The answer to this question is 0.5

if the diagonal of the square is 8 feet what is the area of the square

Answers

Answer:

32

Step-by-step explanation:

You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.

a²+b²=c²

If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:

a²+b²=8²

a²+b²=64

Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.

a²+a²=64

simplify: 2a²=64

divide both sides by 2: a²= 32

square root both sides: a = [tex]\sqrt{32}[/tex]

then you know the length of each side is [tex]\sqrt{32}[/tex]

to find the area of a square, you must multiply both sides by each other, so do [tex]\sqrt{32}[/tex]*[tex]\sqrt{32}[/tex], which will give you 32 since you are essentially doing this:

[tex](\sqrt{32})^2[/tex] in which the square and square root cancel out.

I agree with the person above 23

help...........................

Answers

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

3/1 + 1/3

What is the answer to this?

Answers

Answer:

10/3, or 3 1/3.

Step-by-step explanation:

3/1 + 1/3

3 + 1/3

9+1/3

10/3, or 3 1/3.

A dress with a regular price of $60 is on sale for 20% off the regular price. Lisa has a coupon for an additional 10% off the sale price. What is the price of the dress after the discount for the coupon?

Answers

Answer:

It is $42

if I am wrong then let me know so I can recheck my work

Answer:

$42

Step-by-step explanation:

20+10=30%

60*0.3=18

60-18=42

Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5/6
C.3/16,9/48
D.6/15,4/10

Answers

B because all of the other ones are correct-

HELP WITH THIS QUESTION!!!

Answers

Answer:

- 1/x^18 y^3

Step-by-step explanation:

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