find all the real and complex zeros of f(x)=x^3-7x^2+4x-28

Answers

Answer 1

Answer:

For [tex]x \in\mathbb{C}[/tex]

[tex]x = -2i[/tex]

[tex]x = 2i[/tex]

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]f(x)=x^3-7x^2+4x-28[/tex]

For [tex]f(x) = 0[/tex]

[tex]x^3-7x^2+4x-28 = 0[/tex]

We can easily factor the expression [tex]x^3-7x^2+4x-28[/tex] by grouping.

[tex]x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }[/tex]

Now we have

[tex](x^2+4)(x-7) = 0[/tex]

Therefore,

[tex]x^2+4 = 0 \text{ or } x-7 = 0[/tex]

So,

[tex]x^2 = -4 \implies x = \pm\sqrt{-4}[/tex]

Once [tex]\sqrt{-1} = i[/tex]

[tex]x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i[/tex]


Related Questions

List the sides in order from shortest to longest. The diagram is not to scale. Triangle upper J upper K upper L is shown. Angle upper J is labeled 45 degrees. Angle upper K is labeled 57 degrees. Angle upper L is labeled 78 degrees. A. Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar, line segment JK B. line segment JK,Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar C. line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar D. Modifying above Upper L Upper K with bar, line segment JK, Modifying above upper L upper J with bar

Answers

Answer:

your answer would be C

Step-by-step explanation:

line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar

What is the decimal multiplier to increase by 99%?

Answers

Answer:

1.99

Example:

Increase 10 by 99%.  99% of 10 is 9.9 so increased value would be 10 + 9.9 = 19.9

10 x 1.99 = 19.9 ... same answer

Step-by-step explanation:

Answer:

It is 1.99

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Shane made a scale drawing of a house and its lot. The scale he used was 1 inch : 3 feet. In
the drawing, the backyard is 11 inches wide. What is the width of the actual yard?

Answers

Answer:

33

Step-by-step explanation:

Sandy has 15 roses, 3 daisies, and 12 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet? The greatest number of flowers that could be in a bouquet is flowers.​

Answers

Answer:

3 bouqetes 5 roses 4 tulips

Step-by-step explanation:

what is the value of x?

Answers

Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).

Step-by-step explanation: Hope This Helps :)

For a example, the value 12 is the X coordinate. And Also called Abscissa.                              

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

x + 3 = 0

y = 1

What is the solution of the system?

(3, 1)
(1, 3)
(1, -3)
(-3, 1)

Answers

Answer:

1 i think this is answer...

A company rents out 18 food booths and 21 game booths at the county fair. The fee for a food booth is $150 plus $8 per day. The fee for a game booth is $65 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

the expression is 21+18d

Step-by-step explanation:

Answer:

The answer is t(2844 + 1491) or t(4335)

Step-by-step explanation:

18 x 150 = 2700

18 x 8 = 144

2700 + 144 = $2844

21 x 65 = 1365

21 x 6 = 126

126 + 1365 = 1491

t = ? <--- t stays the same

1491 + 2844 = 4335

t(4225)

3.7(-4x - 3)
(1 Point)
28x - 21
-28x - 21
-4x + 21

Answers

Answer:

-28x - 21

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Step-by-step explanation:

Step 1: Define

7(-4x - 3)

Step 2: Simplify

Distribute 3.7:                    7(-4x) + 7(-3)Multiply:                             -28x - 21

which terms are like terms in the expression 5x + 9 + (-7x)

Answers

Answer:

5x and -7x

Step-by-step explanation:

they both end in the variable "x"

Find ULE in the triangle

Answers

u=71° E=49° and L=60° hope this helps
one is U is 71 hopefullt this helps

PLEASE ANSWER 16 17 18 CORRECTLY I WILL MARK BRAINLIST

Answers

Answer:

A   A  B

Step-by-step explanation:

what’s the answer? i need it asap please

Answers

Answer:

D

Step-by-step explanation:

Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!

Answer:

8x+30+4x+18=180

12x+48=180

180-48=12x

132=12x

x=132/12

x=11

will give branliest
Simplify the follow expression

3x + 8y + 13x

Answers

the answer would be: 16x+8y
you just combine like terms

Answer:

16x+8y

Step-by-step explanation:

Let's simplify step-by-step.

3x+8y+13x

Combine Like Terms:

=3x+8y+13x

=(3x+13x)+(8y)

=16x+8y

summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years​

Answers

Answer: B.12 years

Step-by-step explanation:

Can anyone please help me?

Answers

Wait which 1 are yhu answering?

find the angle which y= equals to root 3 x -4 makes with yaxis​

Answers

9514 1404 393

Answer:

  30°

Step-by-step explanation:

The angle a line makes with the x-axis is arctan(slope). Here, that is ...

  angle with x-axis = arctan(√3) = 60°

So, the angle made with the y-axis is the complement of this:

  angle with y-axis = 90° -60° = 30°

Sunflower we haved renewed your helper thank you with working with our business

Answers

Answer: wdym? do u need any help

Step-by-step explanation:

Helppp (20 points )pleaeeee

Answers

Answer:

LxWxH= 920

Step-by-step explanation:

hope this helps!

PLEASE HELP!! Will mark brainliest, find the measure of

Answers

Answer:

[tex]m\angle BYP=42^\circ[/tex]

Step-by-step explanation:

Lines and angles

The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.

[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]

We are given the acute angles as a function of m. thus:

5m + 98 + 2m + 48 = 90

Simplifying:

5m + 146 = 90

5m = -56

m = -56/5 = -11.2

m = -11.2°

To find the measure of angle BYP, substitute m in

5m + 98 = 5*(-11.2) + 98 = 42°

[tex]m\angle BYP=42^\circ[/tex]

ASAP HELP!! sorry the photo is bad it’s the lighting but please help

Answers

Answer:

3

Step-by-step explanation:

(2+6 +8+54 +...);S 12

Answers

what is the equation?

In quadrilateral ABCD m < A= 90°
m 2 C = 50° and m < B = m D.
Find the degree measure of < B.

Answers

Answer:

m∠B = 170°

Step-by-step explanation:

Sum of all angles in quadrilateral is 360°:

m∠A + m∠B + m∠C + m∠D = 360°

m∠B = 360° - m∠A - m∠C - m∠D

m∠A = 90°

m∠B = m∠D= 50°

m∠B =  360° - 90° - 50° - 50° = 170°

HELP PLEASE SUE TODAY

Answers

Yes, by SSA. WL is common so it is equal, LY and LF are equal, and Y and F are equal.

Which math expression means "the difference of 40 and 12"?

Answers

Answer:C

Step-by-step explanation:This is because c has subtract sign and you are trying to find the difference and difference you need to subtract.And you need to find the difference of 40 and 12 so u write 40- 12 which is choice c.

Hope it helps and it does please give Brainliest .Thanks ;)

find the slope please​

Answers

The slope of the line is 2.

The slope is going up from left to right, so it'll be positive to start with. From there you have to do rise over run. That is pretty much how many units up and in towards the slope do you have to go until you find 2 points that are in the center of the line. In this case, the rise over run is 2/1 which equals 2.

May I have brainliest please? :)

Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?​

Answers

Answer:

Jug B can hold 2340 ml.

Step-by-step explanation:

Given

The amount in Jug A = 1800ml

To determine

How much does jug B hold?​

Give that the Jug B holds 3/10 more, i.e.

[tex]\frac{3}{10}\times \:1800=540[/tex]

Thus,

The total amount in Jug B = 540+1800

                                           = 2340 ml

Therefore, Jug B can hold 2340 ml.

Answer:

get into it

Step-by-step explana   tion:

 

PLEASE HELP I WILL GIVE BRAINLIEST!!!

1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.

it would be so amazing if you could help, im legit so confused :(

Answers

Answer:

1-   1+2+3+4+5 = 15

Step-by-step explanation:

For questions 13 - 14, determine which mappings are functions. please help, will give brainliest

Answers

Answer:

24

Step-by-step explanation:

pls help asap no trolls

Answers

Answer:

yes

Step-by-step explanation:

This is because the sum of 2 sides of a triangle has to be greater than the side that was not used

Yes the sides of a triangle can be that length i’m pretty sure
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