Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.​​

Answers

Answer 1

Hello haohaoxNienie!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

Refer to the attached picture.

Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.

Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

__________________

Hope it'll help you!

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Use The Remainder Theorem To Determine Whether X=-4 Is A Solution Of X^6+5x^5+5^4+5^3+2x^2-10x-8.

Related Questions

Which of the sets of terms below does NOT include like terms? *
1 point
9m, -9m, 7m
1p, -7p, 7p
30, -25, 25
6x, 6y, 6z

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6x, 6y, and 6z are not like terms because they do not have all of the same variables.

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Answer:

i can my googl

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Step-by-step explanation:

Rationalisie the denominator of: 4√3/2-√2​

Answers

Answer:

[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]

Step-by-step explanation:

[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]

By Rationalizing the denominator:-

[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]

[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]

[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]

[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]

[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]

[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]

3 (n+1) - 5 = 3n - 1

I need help with this question

Answers

Answer:

There are no solutions.

Step-by-step explanation:

3(n+1) = 3n+3.

3n+3-5 = 3n-2.

3n-2 doesn't equal 3n-1, so there are no solutions.

How Do i get the correct answer for this?

Answers

Simple way :-

If a function has co-ordinates (x,y) then it's inverse has co-ordinates (y,x)

Now

(0,4)->(4,0)(1,6)->(6,1)(2,8)->(8,2)(3,10)->(10,3)

giải bài tập toán giúp tôi

Answers

Answer:

5x2 + 5x -1

Step-by-step explanation:

jus multiply 3x to 2x because there to the same power. it becomes a postive and you leave the rest.

Answer:

the first answer is right

PLEASE HELP IT’S DUR TMR

Answers

Answer:

10+10+10

Step-by-step explanation:

find the value of the expression -15.08 -8.43​

Answers

Answer:

23.51

Step-by-step explanation:

1. Find F(2) if f(x) = 8x+15/9x-3



2. Find the Domain of F(x) = x+8/x-7


3. R(x)= 8x+3/x^3 - 4x^2 + 3x

Answers

Answer:

thats a crazy question

Step-by-step explanation:

how the tables have turned

Answer:

8 + 4 = 12

Step-by-step explanation:

Brainyyyy

help - *sobs* lol T_T

Answers

I think it’s either 124 or 112

A. 112°

21x+5+37x+1=180

58x+6=180

-6

58x=174

÷58

X=3

37(3)+1

111+1

112

you divide a number by 3, add 6, then subtract 7. The result is 4. What is the number?

Answers

Answer:

15

Step-by-step explanation:

15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4

who ever helps me gets brainiest

Answers

Question 8 measurements. Angle H (acute) Angle M (obtuse) Angle K (acute)

Question 9 measurements. Angle P (right) Angle Q (obtuse) Angle R (acute) Angle S (obtuse) Angle T (right)

Any angle that is visibly smaller than 90° in shape is an acute angle.

Any angle that has a square denoted inside the angle means that it is a 90° angle, therefore implying that it is a right angle.

Any angle that is visibly bigger than 90° in shape is an obtuse angle.

Note that in the Q.8, the total summation of the interior angles for a triangle is  180°. In this case, ∠H & ∠K can be safely assumed to be smaller than right angles, which means that ∠M would be either a right angle or obtuse. However, it is not given that ∠M is a right angle, and so the answer is obtuse.

a. Angle H: acute angle

b. Angle M: obtuse angle

c. Angle K: acute angle

It is given that angles P & T are right angles (as denoted by the squares). Therefore, angle Q & S are obtuse, and angle R is acute, based on visible differences:

a. angle P: Right angle.

b. angle Q: Obtuse angle.

c. angle R: Acute angle.

d. angle S: Obtuse angle.

e. angle T: Right angle.

Usually you will not be using visibility to solve the angle measurements, but in this case, it is not stated that shapes are not drawn to scale. Therefore, you can safely assume based on what the angles look like to answer.


Betty was charged 15 1/2% interest for the year
on her loan of £2 400. James was charged 12% interest for the year on his loan of £4 000.
How much more interest did James pay for the
year?
HELP PLEASE

Answers

Answer: James was charged with $180 more for the year that Betty

Step-by-step explanation: So I dont know how your money currency  works sorry, also Ive never done this kind of math problem so I dont know if its right

Helppp ppleasee ??!!

Answers

Answer:

[tex](m^{4} + 5) - n^{3}[/tex] = 85

Step-by-step explanation:

[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4

Substitute the given values into the polynomial expression:

[tex](m^{4} + 5) - n^{3}[/tex]

[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]

= (16 + 5) - (-64)

= 21 + 64

= 85

Therefore, the correct answer is 85.

Answer: 85

Step-by-step explanation:

(m^4+5)-n^3

(-2^4+5)-(-4)^3

(16 + 5)-(-64)

21 + 64 = 85

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Answers

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:

c² = a² + b²

c² = (6.1)² + (10.6)²

c² = 37.21 + 112.36

[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]

[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]

c = 12.2 mi

Therefore, x = 12.2 mi

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi

Lines l and m are parallel. Find the value of x.


enter just the number

Answers

Answer:

its x

Step-by-step explanation:

the last digit in a measurement is _______ and is considered _______.

Answers

Step-by-step explanation:

Indicating Precision of Measurements:

Scientists understand that the last digit (and only the last digit) in a measurement is an estimate. By writing 25.45 cm, you indicate that you are sure that the measurement was between 25.4 cm and 25.5 cm, and you estimate that it was about 5/10 of the way between them.Aug 18, 2005

A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 35x + 20 represents what the health club charges. Find the rate of
change.
=

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Answer:

+35 per month

Step-by-step explanation:

Can you find the value of x please?!

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Answer:

32

Step-by-step explanation:

The interior angles of a triangle add up to 180.

Subtract 98 and 50 from 180.

180-(98+50)=32

Step-by-step explanation:

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Tony can cycle a distance of 9 5/6 in 3/5 hours. What is his unit rate?

Answers

Answer:

19.66

Step-by-step explanation:

9.83 / 0.5

19.66

Sorry if it is not correct but I think that this is the corrcet answer.

Find the area of the metal sheet below that is required to make this square-shaped traffic sign. (note: square the binomial)

Answers

(7x-4)^2= 49x^2-56x+16
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Answers

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O A. It has a slope of 1.
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D. It goes through quadrants I and IV.
SUBMIT

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Answer:

A. It has a slope of 1.

Step-by-step explanation:

slope is constant

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Answers

Answer:

I think its step 2.

Step-by-step explanation: Correct me if im wrong. Hope it helps. :)

Answer:

Step 1 ;

Step-by-step explanation:

Convert the division into a multiplication and then flip the fraction .

[tex] \frac{7}{9} \div \frac{3}{8} \\ \\ \\ \frac{7}{9} \times \frac{8}{3} [/tex]

1'm b0r3d l0l l0l l0l l0l​

Answers

Yeah your not the only one i am to

Help WITH THE MATH PLEASE QUICK

Answers

Answer:

Step-by-step explanation:

2x - 3 = 135    {Corresponding angles are congruent}

2x = 135 + 3

2x = 138

Divide both sides by 2

x = 138/2

x = 69

[tex]\small\boxed{\begin{array}{cc} \hline\sf \normalsize {Math \: \: \: Question}\\ \hline\end{array}}[/tex]

=================================

2× - 3 = 135

2× = 135 + 3

2× = 138

× = 138/2

× = 69

=================================

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i think this is easy for yall but nor for me lol need help

Answers

Answer:

x = 14

Step-by-step explanation:

So because the sides are equal, that means that the angles are equal.

5x = 3x + 28

Step 1.) Subtract 3x from 5x which leaves you with 2x.

2x = 28

Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14

x = 14

the profit per gallon of lemonade you sell is 5.00. you have enough supplies to make 12 gallons of lemonade describe the domain and range using inequalities

Answers

Answer:

5/12 is your answer

=^-^=

Will offer 40 points for answer
Help with math question it’s in the image

Answers

I think it’s the first one because you mirror ABC from the m-axis and then rotate ABC 90 degrees clockwise from point B’ to get to the position of triangle A”B’C”

The energy needs of an eagle range between 350-600 calories per day. If it gets 120 calories from consuming 1 snake, how many snakes can it have

Answers

Answer:

3- 5 snakes

Step-by-step explanation:

One snake gives 120 calories, so 3 snakes = 360 and 5 snakes = 600 calories.

The eagle can have 3 - 5 snakes per day

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required number of snakes is ~

[tex]3 \: \: to \: \: 5 \: \: \: snakes[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Minimum number of snakes that the eagle need to eat to maintain its energy level ~

[tex] \dfrac{350}{120} [/tex]

[tex] \dfrac{35}{12} [/tex]

[tex] \approx3[/tex]

Maximum number of snakes that the eagle should eat to maintain the level of energy ~

[tex] \dfrac{600}{120} [/tex]

[tex]5[/tex]

So,

The Eagle should have 3 - 5 snakes per day ~

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