Mathematics High School

Form a polynomial in factored and standard from that has a degree of 3 and zeros: 2 - i, and
1.

Answers

Answer 1

Answer:

(x - 2 + i)(x - 2 - i)(x - 1)x^3 -5x^2 + 9x - 5

Step-by-step explanation:

In order to have rational polynomial, it has to have 2 + i as third zero.

Polynomial in factored form:

(x - (2 - i))(x - (2 + i))(x - 1) =(x - 2 + i)(x - 2 - i)(x - 1)

Polynomial in standard form:

(x^2 - 2x - ix - 2x + 4 +2i + ix - 2i -i^2)(x - 1) =(x^2 - 4x + 4 + 1)(x - 1) =(x^2 - 4x + 5)(x - 1) =x^3 - x^2 - 4x^2 + 4x + 5x - 5 =x^3 -5x^2 + 9x - 5

Related Questions

Half of a number x is equal to 9 less than 2 times that same number. What is the
number

Answers

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Analyzing the statement one after the other:

Half a number x: [tex]\frac{1}{2}x[/tex]

Equals to: [tex]=[/tex]

9 less than twice that same number: [tex]2x - 9[/tex]

Bring them together, we have:

[tex]\frac{1}{2}x = 2x-9[/tex]

Collect Like Terms

[tex]\frac{1}{2}x - 2x= -9[/tex]

[tex]\frac{x}{2} - 2x= -9[/tex]

[tex]\frac{x - 4x}{2} = -9[/tex]

[tex]\frac{ - 3x}{2} = -9[/tex]

Multiply through by 2

[tex]2 * \frac{ - 3x}{2} = -9 * 2[/tex]

[tex]- 3x = -18[/tex]

Divide through by -3

[tex]x = 6[/tex]

the sum of a number and 6 is no less than 31​

Answers

Answer:

n + 6 > 31

Step-by-step explanation:

Suppose Huston deposit $600 into a savings account with a simple interest rate of 2.5%. How many years would he have to keep his money in the bank in order to earn at least $120 in interest?

Answers

Answer:

At least 8 years

Step-by-step explanation:

Deposit = $600

Interest rate = 2.5% simple

Time = x years

Target interest amount ≥ $120

600*0.025*x ≥ 12015x ≥ 120x ≥ 120/15x ≥ 8 years

At least 8 years

find the value of b (please help quick)

Answers

Answer:

B=6

Step-by-step explanation:

It is very simple.

f(x) = x(3) - 10x(2) + 28x -24 write a Write a description of the graph that includes all key characteristics below

Answers


x=3x−10x×2+28x−24

x=3x−20x+28x−24

x
=
1
1
x
−
2
4
x=11x−24

x
−
1
1
x
=
−
2
4
x−11x=−24

−10x=−24

x
=
−
2
4
−
1
0
x=
​−10
​
​−24
​​

x
=
2
4
1
0
x=
​10
​
​24

5
x=
​5
​
​12
——
5 is your answer
​​

​​

divide nine by three, then subtract two double the results

Answers

Answer:

2

Step-by-step explanation:

hope this helps

Answer:

-3

Step-by-step explanation:

because nine divided by 3 is 3 then subtract 3 which is 0 then subtract 3 again which is -3

What is the value of x?
-5x – 2 = -13

Answers

Answer:

2.20

Step-by-step explanation:

So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself

So when you divide it x=2.20

Hope that helps

Answer:2.2 there you go have a nice day

The length of each square on the grid represents 1 cm. The scale
from an actual rectangle to the drawing is 24 in. to 1 cm. Make a
new scale drawing where each centimeter represents 16 in.
Label the length and width of your drawing in centimeters.

Answers

Answer:

40.64 cm x 40.64 cm

Step-by-step explanation:

The directions say that 1 centimeter = 16 inches.

1 inch = 2.54 centimeters

Multiply by 16.

16 inches = 40.64 centimeters

We know each length of the square is 1 cm or 16 inches, according to the above.

(btw problem says rectangle, a square can be a rectangle.)

A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x+a, equals zero.
a. true
b. false

Answers

Answer:

Pretty Sure False.

Answer: false

Step-by-step explanation: a pex

all ratios equivalent to 5:2.

Answers

Answer:

10 : 4, 15 : 6, 20 : 8, 25 : 10, 30 : 12, 35 : 14, 40 : 16, 45 : 18, 50 : 20, 55 : 22 60 : 24 65 : 26 70 : 28 75 : 30 there are many many more

Step-by-step explanation:

Answer this for brainest :)

Answers

Answer:

-11/36

Step-by-step explanation:

Answer:

-11/36

Step-by-step explanation:

(-1/3)^2 is equal to 1/9

5/6(-1/2) is equal to -5/12

Adding them, we get 1/9 - 5/12

With a common denominator, this is 4/36 - 15/36, which gives us an answer of -11/36

I would appreciate brainliest, have an amazing day!

In 91.72 which digit is in the tens place?​

Answers

Answer:

9

ten's go for the number 10

91=9-1 9 in 90 so its 9.

so therefore your answer is 9

Step-by-step explanation:

SOMEONE JUST GIVE ME THE ANSWER

Answers

Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)

Step-by-step explanation:

Answer:

Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.

Step-by-step explanation:

This is not math but pls help here are some

Answers

Answer:

There is nothing here do you have a question I would be happy to help!!!:)

Step-by-step explanation:

The midpoint of AB is M(-6,1). If the coordinates of A are (-5,7), what are the
coordinates of B?

Answers

Answer:(7,-3)

Step-by-step explanation:

The answer is 73 only if u subtract

please help asap im super behind :(

Answers

Answer:

y   x

2   3

3   6

4   9

5   12

Step-by-step explanation:

if y = 2 then x = 3

if y = 3 then x = 6

if y = 4 then x = 9

if y = 5 then x = 12

I need help I don’t understand

Answers

Answer:

x=50

Step-by-step explanation:

A= 30+2x

B= x

Supplementary angles are angles that always add up to 180 degrees.

therefore, A + B=180 degrees

30 + 2x + x = 180: Now we solve

30 + 3x =180

subtract 30 from both sides

3x=150

divide by 3

3x/3 = 150/3

x= 50

PLEASE HELP!!

Enter numbers into the table so that the paired values are in a proportional relationship.

x 2 6 8 (?) 20
y (?) 3 4 6 10

fill the (?) in.

Answers

Answer: x is, 2 6 8 10 20-- i think

Step-by-step explanation: y is, 2 3 4 6 10

Answer:

ya he's rite

Step-by-step explanation:

198.8 grams ≈ ounces

Answers

Answer:

7.0124636 ounces

Step-by-step explanation:

Im really sorry if this is wrong but I think it's right

An animal shelter spends $3.00 per day to care for each cat and $5.00 per day to care for each dog. Penelope noticed that the shelter spent $69.00 caring for cats and dogs on Tuesday. Penelope found a record showing that there were a total of 17 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday

Answers

Answer:

x=16

Step-by-step explanation:

69 answer this

420
69
420

Answers

do you want us to add, subtract, multiply, divide...what..?

Answer:

the answer is 420 666 6969

Step-by-step explanation:

Whoever can answer this correctly gets Brainliest + 20 Points! Make sure to explain to me how you got your answer so I can understand and be on the same page as you.

Answers

Answer:

1.

Step-by-step explanation:

both A and B are functions

Change 5x+1=4y+7 to slope intercept form ( y=mx+b)

Answers

Answer:

Step-by-step explanation:

5x + 1 = 4y + 7

5x - 4y = 7 - 1

-4y = -5x + 6

-4y/-4 = -5x/-4 + 6/-4

y = 5/4x - 6/4

y = 5/4x - 3/2

Answer:

Work shown below!

Step-by-step explanation:

5x + 1 = 4y + 7 to y = mx + b

5x + 1 = 4y + 7

Subtract 7 from both sides;

5x - 6 = 4y OR 4y = 5x - 6

4y = 5x - 6

Divide both sides by 4;

[tex]y=\frac{5}{4}x-\frac{6}{4} \\\\y=\frac{5}{4}x- \frac{3}{2}[/tex]

Guys quickly what is 1% of 75?

Answers

Answer:

the answer is 0.75

...................................

Isn’t it .75 ??

I’m not sure I forgot how to do this

pls help ill mark brainliest​

Answers

Answer:

No solution or B

Step-by-step explanation:

Multiply eq1 by 3.

3y=18x+6

3y-18x=12

Regroup:

18x-3y=-6

-18x+3y=12

Add:

0=6???

Impossible

So no solution.

Hope this helps plz mark brainliest :D

Answer:

No solution

Step-by-step explanation:

First we need to solve the equations.

I'll use the combining method

To do the combining method you need to get one of the variables in the first equation to be the negative correspondent to the same variable in the second equation.

(Ex:

If there was 2x in the first equation we would want there to be -2x in the second so they cancel out.)

y=6x+2

subtract 6x from each side to get the variables to line up

y-6x=2

3y-18x=12

To get -6x to equal 18x, we will multiply everything in the first equation by -3

-3y+18x=-6

3y-18x=12

Now combine the two terms

-3y and 3y cancel out

18x and -18x cancel out

-6+12=6

We are left with 0=6.

0 does not equal 6 so there is no solution.

Please help so I can finally finish my hw

Answers

Answer:

That's confusing

Step-by-step explanation:

Answer:

I am very sorry I don’t know how to do this sorry maybe next time

Step-by-step explanation:

Please help ASAP Thank you

Answers

Answer:

we need the whole question

Step-by-step explanation:

post the whole question

is 20 a prime or composite number.​

Answers

Answer: It is a composite number since it has more factors than just itself and 1.

Step-by-step explanation:

1x20=20

2x10=20

4x5=20

Answer:

composite

Step-by-step explanation:

It has factors other than 1 and 20; Its factors are 1, 2, 4, 5, 10, and 20.

HTH :)

What is the equation of the line that passes through the point (2,−1) and has a slope of 3/2

Answers

answer
y=3/2x -4
hope this helps:))

Given :-

A line having a slope of 3/2 passes through (2,-1) .

To Find :-

The equation of the line .

Answer :-

According to the question ,

m = 3/2

Point = (2,-1)

We know Point slope form of the line as ,

y - y¡ = m ( x - x ¡ )

Substitute ,

y - (-1) = 3/2 ( x - 2 )

y + 1 = 3/2x - 3/2*2

y +1 = 3/2x - 3

2( y +1) = 3/2x *2 - 3*2

2y + 2 = 3x - 6

3x -2y -8 = 0

What number when multiplied by 113 has a product of 1

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

1/13

Step-by-step explanation:

copied of that person

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