Mathematics High School

If f(x) = x^3 + 8x² + 11x-20 and x+5 is a factor of f(x), then find all of the zeros of f(x) algebraically

If F(x) = X^3 + 8x + 11x-20 And X+5 Is A Factor Of F(x), Then Find All Of The Zeros Of F(x) Algebraically

Answers

Answer 1

Answer:

The zeros are (-5,-4,-1)

Step-by-step explanation:

Since we have a linear factor, we can use the method of long division to get the other factors

What this mean is that we simply divide the polynomial by the linear expression

we have this division result as;

By dividing, we have the other factor as ;

x^2 + 3x - 4

so we simply factorize this

x^2 -x + 4x - 4

x(x-1) + 4(x-1)

(x + 4)(x-1)

So the complete factors are;

(x + 5)(x + 4)(x-1)

To get the zeros, we simply equate each of the terms to zero

and we have our answer as;

-5 , -4 , 1

If F(x) = X^3 + 8x + 11x-20 And X+5 Is A Factor Of F(x), Then Find All Of The Zeros Of F(x) Algebraically

Related Questions

>
Yankee Stadium, in New York City, can hold 55,070 fans. If a baseball
game draws a crowd that is 80% of the stadium's capacity, how many
empty seats are there in the stadium?

Answers

Answer:

15000 i think it would be right

what 2 numbers multiply to 77 and add to 18​

Answers

Answer:

11 and 7

Step-by-step explanation:

11+7=18, and 11 x 7=77

Hope I helped!

Answer:

i think it is 11 and 7

Step-by-step explanation:

If m∠VBC=(3x+4)∘, what is the value of x?

Answers

Answer:

x = 29

Step-by-step explanation:

⇒ x + ( 2 x + 2 ) + ( 3 x + 4 ) = 180 ⇒ 6 + 6 = 180 ⇒ 6 x = 180 − 6= 174 ⇒ x = 174 6 = 29

*fill the blank* / (-2) = -6.41

Answers

Answer:

the blank= 12.82

Step-by-step explanation:

Answer:

12.82

Step-by-step explanation:

x = blank

x / (-2) = -6.41

multiply both sides by -2

x = 12.82

by elimination method solve 2x=10-y and 3x-2y=1​

Answers

Answer:

(3,4)

Step-by-step explanation:

hope this answerss

The answer is:

(x,y) = (3, 4)

Evaluate the expression when b = -2 and c = 2. b - 8c

Answers

Answer:

- 18

Step-by-step explanation:

For this problem, you want to replace the letters with the values they gave you so...

b - 8c into -2 - 8 (2)

1) Simplify 8 × 2 to 16.

−2 − 16

2) Simplify.

−18

I need help on this really fast please

Answers

Answer:

12=3+3+3+3

Step-by-step explanation:

Extra points for hemo

Answers

Point A Is at (-2,-1)
Point B is at (1,3)

42 = -3n
- 3 -3
14=n

What did i do incorrect

Answers

Answer:

Your forgot the negative on the "14"

Step-by-step explanation:

42 = -3n

-3      -3

-14 = n

(Never forget your negatives when dividing by a negative)

Answer:

42=-3n

42/-3=-3n/-3

-14=n

Step-by-step explanation:

your mistake was the sign

The circumference of a circular garden is 28 feet. Which of the following expressions best represents the radius of the garden?
A. 28π28 over pi
B. 28(π)28 times pi
C. 282π28 over 2 pi
D. 28(2π)

Answers

Answer: The answer is ACTUALLY C

Step-by-step explanation:

REMEMBER: The radius is always half of the diameter.

So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...

SOLID PROOF:  

What equation could be written for this table?

Answers

The awnser for this a should be c

The diagram shows triangle PQR.
PSR is a straight line.
size of angle PQS : size of angle SQR = 3:1
S
Work out the size of angle PSQ

Answers

Answer:

Angle PSQ is 61°

Step-by-step explanation:

In the triangle ΔPQR, we have;

m∠QPS = 65°

m∠PRQ = 43°

Line PSR is a straight line

m∠PQS : m∠SQR = 3:1

Therefore;

∠PQR = 180° - (∠QPS + ∠PRQ), by the angle sum theorem of a triangle

∴ ∠PQR = 180° - (65° + 43°) = 72°

∠PQR = 72°

∠PQR = m∠PQS + m∠SQR by angle addition postulate

m∠PQS : m∠SQR = 3:1

∴ m∠PQS = 3 × m∠SQR

∴ ∠PQR = m∠PQS + m∠SQR = 3 × m∠SQR + m∠SQR = 4 × m∠SQR

∠PQR = 4 × m∠SQR

∴ 4 × m∠SQR = ∠PQR = 72°

m∠SQR = 72°/4 = 18°

m∠PQS = 3 × m∠SQR = 3 × 18° = 54°

m∠PQS = 54°

∠PSQ = 180° - (∠QPS + ∠PQS) by the angle sum theorem

∴ ∠PSQ = 180° - (65° + 54°) = 61°

Angle ∠PSQ = 61°.

HELPPP!!!!!! URGENT!!!​

Answers

Answer:

20

Step-by-step explanation:

x = price

y = number of keyboard

xy = 540

(x-2)(y+3) = 540

x = 540/y

==> x = 20

==> y = 27


3 points
4.8 cm
B
3.6 cm
Calculate the length of AC.

Answers

Answer:

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

3.6cm

3m+2n+5m-7n please help me :)))))

Answers

Answer:

8m+-9n

Step-by-step explanation:

what is 12% as a fraction in simplest form?

Answers

Answer:

10

Step-by-step explanation:

you convert the 12% so that it becomes a fraction...it becomes 12\100 , then put it in its lowest form ...

78x − 12 = 316x + 5 what is the answer pls help

Answers

Answer:

-0.0714 approx

Step-by-step explanation:

78x − 12 = 316x + 5

Bring all the like terms together

78x -316x = 5 + 12

-238x = 17

∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)

y=-2х - 4 y=x - 5 how many solutions does this have​

Answers

Answer:

one solution

Step-by-step explanation:

-2x - 4 = x - 5

-3x - 4 = -5

-3x = -1

x = 1/3

y = 1/3 - 5

y = 1/3 - 15/3

y = -14/3

(1/3, -14/3)

Please help me :( please

Answers

Answer:

I did no math but just by looking at it am like 70 percent sure it's 6.2

What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?

Answers

Answer:

10.7a−8.1b

I hope I helped you!

Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day,
and so on. On which day will Roberta jog 13 laps if the pattern continues ?

Answers

Answer:

Sixth day

Step-by-step explanation:

Keep adding 2 until you get to 13

During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he inrceased the number of parts he usually makes?

Answers

Answer:Percent Increase n the number of parts usually made = 80%

Step-by-step explanation:

Percent Increase = (Increase / Initial Number of parts made daily)  X 100/1

Initial Number of parts made daily = 45

Current number of parts ,made daily = 81

Percent Increase = 81-45/ 45 x 100

=36/45 x100/1

= 0.8 x 100

= 80%

Answer:

80 percent

Step-by-step explanation:

plssss help thankyou

Answers

Answer:

2nd answer choice No, 6/2 does not equal 2/24 :)

Step-by-step explanation:

6/2=3 while 24/10=2.4

Another way you could think about it:

6*2=12

2+2=4

6*3=18

4+2=6

6*4=24

6+2=8

So 24 ounces of the shake would only be 8 grams of protein.

what is the mean of 4,7,3,8

Answers

Answer:

mean=(4+7+3+8)/4=22/4=5.5

11/2 = 5.5

Please give brainliest

match the rule to the sequence

n + 5 8, 13, 18, 23, 28
5n 6, 7, 8, 9, 10
3n + 5 5, 10, 15, 20, 25
5n + 3 8, 11, 14, 17, 20​

Answers

Answer:

a) aₙ = n+5 → 6,7,8,9,10....

b) aₙ = 5n  → 5,10,15,20,25...

c) aₙ = 3n+5 → 8,11,14,17,20

d) aₙ = 5n+3 → 8,13,18,23,28

Step-by-step explanation:

Explanation

Given [tex]n^{th}[/tex] term of the sequence

aₙ = n+5

Put n =1

a₁ = 1+5 =6

put n =2

a₂ = 2+5 =7

Put n=3

a₃ = 3+5 =8

and so on

The sequence  6,7,8,9,10....

b)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n

Put n=1 ⇒ a₁ = 5

put n=2 ⇒ a₂ = 10

and so on

5,10,15,20,25..

c)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5

put n=1 ⇒   a₁ =8

Put n=2  ⇒ a₂ =11

Put n=3  ⇒ a₃ = 14

and so on

The sequence  8 , 11, 14 , 17 , 20 ..

d)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3

Put n=1 ⇒ a₁ = 8

Put n=2⇒ a₂ = 13

Put n=3 ⇒a₃ = 18

and so on

The sequence 8,13,18, 23..

Plz help me with this question!!

Answers

Answer:

(-1,-4)

Step-by-step explanation:

63°+4x+13=180
Find the m

Answers

Answer:

y=x+10

Step-by-step explanation:

I need to finish please heeelllpppp

Answers

Answer:

Hey you helped me with a different would u mind helping me with more?

Step-by-step explanation:

Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.

Answers

Answer:

59.04°

Step-by-step explanation:

Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.

We solve using the Trigonometric function of Tangent

tan x = Opposite/ Adjacent

tan x= 50 ft/30ft

x = arc tan (50 ft/30 ft)

x = 59.036243468°

Approximately = 59.04°

Here are the ingredients for making pineapple sorbet for 6 people. 800g 4 egg whites 1/2 lemon 100g cater sugar Ann makes pineapples sorbet for 9 people . workout how many pinapple she uses

Answers

She would use 1200g of pineapple.
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