If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.

Answers

Answer 1

Answer:

2x⁴ + x³ - 3x² - 4x + 2

4

Step-by-step explanation:

Given functions:

     f(x) = 2x⁴ - 3x² - 2x + 5

     g(x)  = x³ - 2x - 3

Unknown:

Sum of the polynomials = ?

Order of the sum  = ?

Solution:

The sum of the polynomial is expressed as;

    f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 +  x³ - 2x - 3

                   = 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3

                   = 2x⁴ + x³ - 3x² - 4x + 2

The order of the sum is the highest power which 4.

This polynomial is of the 4th order.


Related Questions

HELP ASAP: Can you draw a quadrilateral that's not a parallelogram with only one pair of congruent angles? Explain why one pair of congruent angles isn't enough information to prove that a quadrilateral is a parallelogram.

Answers

Yes it is possible. We could draw a trapezoid that has 2 right angles as shown below. A trapezoid has only one pair of parallel sides. A parallelogram needs both pairs of opposite sides to be parallel.

Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles.

What is quadrilateral?

A quadrilateral is a four-sided polygon with four edges and four corners in geometry. A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are known as the trapezoid's bases.

Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles. A trapezoid has only one parallel pair of sides. Both pairs of opposite sides of a parallelogram must be parallel.

The shape of the required quadrilateral is attached with the answer below.

To know more about quadrilaterals follow

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Given m ||n, find the value of x.

(x+14)
mm
(9x-40°

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

17

Step-by-step explanation:

Sarah goes grocery shopping and buys oranges by the pound. Does this represent a discrete or continuous graph?​

Answers

Answer:

continuous graph

Step-by-step explanation:

is
Find the area of this circle. Use 3 for .
A = air2
Hint: The radius (r) is
1/2 of the diameter.
12 in
[?] in2

Answers

Answer:

113.1 in²

Step-by-step explanation:

A = pi × r²

= pi × 6²

= 113.1 in²

Drag numbers to complete the table for missing values of x, x2, and x3.

Answers

Answer:

Values are:

x x²

10 100

5

What Eva the person on top said is rightly

2/5(a+2b)^2 (if a=3 and b=-4)

Answers

The answer is 10. Hope this helps.

Multiply the numbers

2/5 •(3-8)^2

Subtract (3-8)

2/5• (-5)^2

A negative base raised to an even power equals a positive

2/5• (5)^2

Reduce the expression with 5.

2•5

10

7x - 3x + 2 = 8x - 6


Answers

Answer:

x=2

Step-by-step explanation:

m.c.m (3, 16, 2) ?? please help

Answers

B I got it on edg 2020 in may last year

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

M.C.M=

[tex] \bf \textcolor{red}{ \huge{48}}[/tex]

3-16-2|2

3-8-1 |2

3-4-1 |2

3-2-1 |2

3-1-1 |3

1-1-1

2⁴•3

M.C.M=

2•2=4

2•2=4

4•4=16

16•3=48

[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]

xLasersx✨

A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5 centimeters. Jen filled the bottom layer with 24 cubes. What is the volume of the box?

Answers

Answer:

120 centimeters cubed

Step-by-step explanation:

you dont even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)

Answer:

120

Step-by-step explanation:

I know this question is old but why not

What’s the equation of (6,39) and (-5,-49)

Answers

y= 8x-9, because I need more characters

Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?

Answers

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

[tex]\frac{5-2}{7- (-4)}[/tex]  =   [tex]\frac{3}{11}[/tex]

Which equation illustrates the identity property of multiplication?

A. (a + bi) × c = (ac + bci)
B. (a + bi) × 0 = 0
C. (a + bi) × (c + di) = (c + di) × (a + bi)
D. (a + bi) × 1 = (a + bi)

Answers

Answer:

Step-by-step explanation:

2

Answer: D. (a+bi) times 1 = (a+bi)

Step-by-step explanation: i just took the test on edge2020

Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)

Answers

Answer:

so the slope-intercept form is y=mx+b

so your's is....

y= 5x +15

Step-by-step explanation:

Hope this helps!!

The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through (-2,5) and (-4,-5)

The equation of the line can be calculated as follows:

y + 5 = (-5 - 5)/(-4+2)[x + 4]

y + 5 = 10/2[ x + 4]

y = 5x + 20 - 5

y = 5x + 15

Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.

Learn more about the linear equation here:

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the Venn diagram is shown below​

Answers

n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.

At noon the temperature was 0°C. If the temperature then rose 3°C per hour, what was
the temperature after 7 hours?

Answers

Answer:

21 degrees

Step-by-step explanation:

Angie is going to varnish the floor. Continued on other side of the page She needs 1 litre of varnish for 5 m2 of floor. There are 2.5 litres of varnish in each tin of varnish. Angie has 3 tins of varnish. Does she have enough varnish for all the floor? You must show all your working

Answers

Answer:

No, she doesn't have enough varnish for all the floors.

Step-by-step explanation:

Area of the floor, A= 10x6-5x2=50 [tex]m^2[/tex]

Since 5 m^2 required 1 liter of varnish.

So, the amount of varnish required for 1 [tex]m^2[/tex] = 1/5= 0.2 liters.

The amount of varnish required for 50 [tex]m^2[/tex] = 0.2X50=10 liters.

Now, as 1 tin has 2.5 liters of varnish.

So, the total amount of varnish available = 3x2.5=7.5 liters, which is less than the total requirement.

Hence, she doesn't have enough varnish for all the floors.

Write this word sentence as an inequality.
A number y is greater than –8 and is at most –7.
Pleaseeee!!! Someone hurry!!!

Answers

Answer:

-8<y≤-7

.Step-by-step explanation:

7.99, -7.567854, -7.1, -7, but it COULD NOT be -8.

To the nearest tenth, how many inches equal 12.55 centimeters? (1 in. = 2.54 cm)

Answers

Answer:

5.1

Step-by-step explanation:

all you do is divide 12.55 by 2.54

Answer:

5 inches.

Step-by-step explanation:

If each inch is 2.54, you basically have to divide 12.55 divided by 2.54. Which would equal 4.94094488189. That would round to 5, which means approximately, it equals 5 inches.

Sorry if this is incorrect, but I do believe it is correct, have a good day!

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!

5x-2=3x+4
what does x equal

Answers

Answer:

x=3

Step-by-step explanation:

5x-2=3x+4

[tex]5x-2+2=3x+4+2[/tex]

[tex]5x=3x+6[/tex]

[tex]5x-3x=3x+6-3x[/tex]

[tex]2x=6[/tex]

[tex]\frac{2x}{2}=\frac{6}{2}[/tex]

[tex]x=3[/tex]

How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?

Answers

Answer:

about 3000

Step-by-step explanation:

Evaluate the expression when c=4. c2 +6c+8

(the 2 after the c is one of those mini high 2's.)​

Answers

Answer:

48

Step-by-step explanation:

Write , or = to make the statement true. 9.008 ___ 9.08

Answers

Answer:

9.008 < 9.08

Step-by-step explanation:

9.08 is greater because you compare the number 9 and 9 are the same, 0 and 0 still the same, but then 0 and 8 you know eight is greater. was this helpful enough

2. Emily was going to her hotel. It took her 4 hours to get there after work. When she was driving nome she decided to go 15 miles per hour faster. which let her get home 1 hour earlier. How fast did she drive going to the hotel I 3. Give an example of a linear equation that has (a) no solution and ib) infinitely many solutions​

Answers

Answer:

She could not even fit in the hotel in the first place

Step-by-step explanation:

PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.

Answers

Answer:

[tex]2x + 1200[/tex]

Step-by-step explanation:

[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]

Each new line represents the change stated in the question.

P=a+b+c solve for b and graph the inequality

Answers

I need points can you give me some of your points

answer number 1 or 2 or both please<3

Answers

Answer:

1. 1.96 g/L

2. 1 g/cm³

Step-by-step explanation:

Density is found by dividing mass by volume: d = m/v.

1.

We know that the mass is 0.196 grams, while the volume is 100 mL.

Converting the volume to liters, we get:

100 mL = 0.1 L

Then, applying our density formula:

d = m/v

d = 0.196 g / 0.1 L = 1.96 g/L

2.

Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.

The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.

Applying our density formula gives:

d = m/v

d = 27 g / 27 cm³ = 1 g/cm³

~ an aesthetics lover

PICK ALL THAT ARE EQUIVALENT TO -5/19

Answers

Answer:

Step-by-step explanation:

The anwser is 2,3,4,5

Answer:

...

Step-by-step explanation:

hey your from my middle school! we are in the same class!

For lunch, students may choose one pasta () or chicken (G, The side choices are salad (5) or fruit (1) drink, ane entree, and one side. The drink choices are milk (M) or juice ). The entrée choices are which table shows al of the possible hunch combinations 7 Drink Entire side P OA Drink Entrée p P с Drink Entire P P M Side 5 Lunch Combination Ос 2 4. B. 1 Drink Entire Side N 5 P. C Lunch Combination 2 1 2 Side F Lunch Combination 5 7 с P P с Lunch Combination

Answers

Answer:

Step-by-step explanation: :) answer b

Answer:

The answer is D

Step-by-step explanation:it shows all 8 possible combinations

Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.

What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.

Answers

Answer:

3 and 5

Step-by-step explanation:

Hope this helped :)

I did the same assignment and it was right!

Answer:

here is the answer

Step-by-step explanation:

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