11) Which of the following is zero of the polynomial x^3+x^2+x+1

1
-1
both options 1 and 2
None
please answer​

Answers

Answer 1

Answer:

Answer: -1

Step-by-step explanation:

The Polynomial Remainder Theorem

It states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

We have the polynomial:

[tex]f(x)=x^3+x^2+x+1[/tex]

And we need to determine if x=1 and/or x=-1 are zeros of the polynomial.

Considering the polynomial remainder theorem, if we try any value for x, and the remainder is zero, then that value of x is a root or zero of the polynomial.

Find:

[tex]f(1)=1^3+1^2+1+1[/tex]

f(1)=4

Thus, x=1 is not a zero of f(x)

Now, find:

[tex]f(-1)=(-1)^3+(-1)^2+(-1)+1[/tex]

[tex]f(1)=-1+1-1+1=0[/tex]

Thus, x=-1 is a zero of f(x)

Answer: -1


Related Questions

Laundry detergent is priced at 20 ounces for $3.40 or 14 ounces for $2.10.what is the the unit rate of the laundry detergent that is better value?

Answers

Answer:

0.17 cents per ounce, which is the 20 ounce

Step-by-step explanation:

3.40 / 20 = 0.17 cents per ounce

2.10/14 = 0.15 cents per ounce

Answer:

14 Ounces for $2.10

Step-by-step explanation:

To find the answer you need to find the cost per ounce by dividing the cost by the ounces

3.40/20 = 0.17. So $0.17 per ounce

2.10/14 = 0.15. So $0.15 per ounce

Evaluate (2 * x - 4) for x = 2

Answers

Answer:

0

Step-by-step explanation:

The expression we are given is (2 * x - 4).

We need to find the value of expression when x = 2.

Let's substitute 2 in as x.

Now our expression is (2 * 2 - 4).

First, let's multiply our 2 with our substituted 2.

1.  2 * 2 = 4

We're left with (4 - 4).

Finally, let's evaluate this expression.

2.  (4 - 4) = 0.

Our answer is 0.

So (2 * x - 4) when x = 2 is 0.

Feel free to give brainliest.

Have a great day!

A car is moving at a steady rate. The distance it travels is proportional to the amount of time, in hours, it has been driving. It has traveled a total of 168 miles in 3 hours. (a) What is the ratio of the distance to the number of hours? Express as a fraction and as a unit rate with appropriate units.

Answers

Step-by-step explanation:

let distance travelled be d miles and time be t hours.

d = kt where k is a constant, k ≠ 0

168 = 3k

k = 56

d/t = k

hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.

Topic: direct & inverse proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

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Answers

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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

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[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

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The correct answer is Option four .

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can't figure this out​

Answers

Answer:

2.55%

Step-by-step explanation:

You have 11 years to make $500, To do this, take the 11 and multiply it by the percentage, after that, do $2000 divided by 11 x (percentage) answer. Then you will have the difference, which should roughly equal $556, which is slightly over $500 but you can't have it under so this is the best answer.


What are the excluded values of x for

Answers

Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

What is 7x=5y x 6. Plllllssss heeelllp meh. Im stupid and don't know what this is.

Answers

Answer:

x=0

Step-by-step explanation:

"x6"   was replaced by   "x^6".

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :7x-(5y*x^6)=0

7x -  5x6y  = 0

7x - 5x6y  =   -x • (5x5y - 7)

-x • (5x5y - 7)  = 0  Hope this helps and you are not stupid everybody has at least something that they dont understand :)))

                   

Blaine bought a bag of 20 apples. When she got home, she found that 20%
of the apples were bad. How many bad apples were in the bag?

Answers

Answer:

4

Step-by-step explanation:

20 percent * 20 =

(20:100)* 20 =

(20* 20):100 =

400:100 = 4

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

To plot the point (5, -3) you would move up 5, then left 3.

1. False
2. True

Answers

Answer:

False

Step-by-step explanation:

Positive in the X-axis is always to the right and negative is left and in the Y-axis positive is up and negative is down  

The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​

Answers

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Order of Operations: BPEMDASPerimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Distribute 2:                              163 = 4l + 16 + lCombine like terms:                 163 = 5l + 16Subtract 16 on both sides:        147 = 5lDivide both sides by 5:             147/5 = lRewrite:                                      l = 147/5Evaluate:                                    l = 29.4 yards

Step 4: Find w

Define:                    w = 2l + 8Substitute:              w = 2(29.4) + 8Multiply:                  w = 58.8 + 8Add:                        w = 66.8 yards

FIRST CORRECT ANSWER GETS BRAINLEST!!!
Gregg has q quarters and p pennies. His brother has 4 times as many quarters and 8 times as many pennies as Gregg has. Write the sum of the number of coins they have, and then combine like terms.

Answers

8-4=4
So Greg has 4 coins

how do I solve 9x-4= -44​

Answers

9x - 4 = -44
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...

Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.

Answers

Answer:

Buy-Here Warehouse has the better deal.

Step-by-step explanation:

divide

$6.50 divided by 2 = $3.25

$3.25 costs less than $3.95 for a pound

Raina drove 936 miles in 13 hours.
At the same rate, how long would it take her to drive 576 miles?

Answers

Answer:

8 hours

Step-by-step explanation:

72 miles per hour

576/72= 8

8 hours. 936/13 equals 72, so 576/72 is 8 hours

science pls answer I give brainliest

Answers

Answer:

I would say B

Step-by-step explanation:

Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time

BONUS! What is the slope of the line that passes through (-3, 5) and (-1, 8)?

Answers

Answer:

The slope is 3/2

Step-by-step explanation:

Slope formula y2 - y1

                       x2 - x1

8-5/-1+3

3/2

The slope is 3/2

~PumpkinSpice1

Answer:

The slope is 3/2

Step-by-step explanation:

Use slope intercept form. [tex]\frac{y_2-y_1}{x2-x_1}[/tex]

[tex]\frac{8-5}{-1-(-3)}[/tex] = [tex]\frac{3}{2}[/tex]

the polygons in each pair are similiar. help find the missing side length???

Answers

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].

Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours of electricity used and the cost per kilowatt hour. When he uses 1,100 kilowatt hours of electricity, his bill is $113. When he uses 1,500 kilowatt hours of electricity, his bill is $153. What is the monthly administration fee? $

Answers

Answer:

3

Step-by-step explanation:

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?

Answers

Answer:

y=3x-4

Step-by-step explanation:

a slope of 3 means that the equation will definitely start like this

y=3x +/- b

to find b, substitute the coordinates given, so

5=3 x 3 +/- b

5=9 +/- b

5-9=b

-4=b

so the equation would be

y=3x-4

I don’t know another way to find the intercept so I backtracked. The slope is 3, so it rises by three and “runs” right by 1. So I went down 3 and left 1 till I got the intercept. The first point was (1,2). The second I got was (0,-1). Then I used Desmos to graph it.

2 Simplify: 2 (5+ 3x) + (x + 10)​

Answers

Answer:

7x+20

Step-by-step explanation:

multiply (5+3x) by 2 and combine like terms

Evaluate the expression

2 − 52 ÷ 5 + 8

Answers

Answer:

32

Step-by-step explanation:

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Answer:

decimal= -0.4

exact form=-2/5

Step-by-step explanation:

DUE AT TWELVE.Help it's savvas math pleaseeeeeee

Answers

Answer:

65%

Step-by-step explanation:

What I did was 2900/2 is 1450 which is half and than I subtract 1450 by 1,885 giving me 435 more people. I honestly, guess 65% but I also checked it on the calculator 2900 - 65% give 1,885.  So, 65% is the correct answer.

Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.

Use this information to complete each statement about the linear equation.

Answers

Answer:

y= 3x

Step-by-step explanation:

This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.

Answer:

slope of the linear equation is 3

a point on the graph of a linear equation is (4,12)

linear equation can be written as y-12 = 3 (x-4)

Step-by-step explanation:

Cuz it is

Which ratio is less than 15 Over 24
A. 1/2
B. 7/8
C. 19/24
D. 6/8

Answers

Answer:

A

Step-by-step explanation:

Eloise is baking cupcakes and cookies for a birthday party. He baked 2.5 times as many cookies as cupcakes for a total of 56 items. How many of each item did she bake?

A. 16 cookies and 40 cupcakes
B. 35 cookies and 21 cupcakes
C. 35 cupcakes and 21 cookies
D. 16 cupcakes and 40 cookies

Answers

Answer:

D 16 cupcakes and 40 cookies

Step-by-step explanation:

I wrote an equation to solve for this

2.5x + x = 56

x represents cupcakes

3.5x = 56

x = 16

16 represents cupcakes.

16*2.5 = 40 (cookies)

Зу +6 - 4(х - 9) Standard Form​

Answers

Answer:

3y + 42 -4x

Step-by-step explanation:

3y +6 -4(x-9) distribute -4 through the  ( )

3y + 6 -4x + 36   calculate add the numbers

3y + 42 -4x

Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?

Answers

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Step-by-step explanation:

Given that sin θ = 3/4 and θ is in Quadrant II:
Find cos θ.

Answers

this is for the Sin

*Remember that sin = opposite / hypotenuse*

a² + b² = c² (where a and b are legs and c is the hypotenuse)

From the picture, you can see:

a = 3

c = 4

Plug these into the equation and solve for b.

* a² + b² = c² *

step 1: 3² + b² = 4²

step 2: 9 + b² = 16

step 3: b² = 16 - 9

step 4: b² = 7

step 5: √(b²) = √7

step 6: b = ± √7

FOR COS:

From the picture,  you can see that if θ is in quadrant II, b has to be negative.

b = -√7 = adjacent

Remember that cos θ = adjacent / hypotenuse.

cos θ = adjacent / hypotenuse

cos θ = (-√7 / 4)

2. Find the roots of the following quadratic equations by factorisation:
100x2 - 20x + 1 = 0

Answers

Answer:

x = [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Given

100x² - 20x + 1 = 0 ← this is a perfect square

(10x - 1)² = 0, thus

10x - 1 = 0 ( add 1 to both sides )

10x = 1 ( divide both sides by 10 )

x = [tex]\frac{1}{10}[/tex]

Answer:

Step-by-step explanation:

100x^2-20x+1=0

100x^2-(10+10)X+1=0

100x^2-10x-10x+1=0

10x(10x-1)-1(10x-1)=0

(10x-1)(10x-1)=0

So roots are X=1/10,1/10

A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality? Express your answer in decimal form.

Answers

Answer:

2/5

Step-by-step explanation:

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