1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlada [557]
3 years ago
5

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 3-i, squ

are root of 7
Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0
Real coefients
if a+bi is a root then a-bi is also a root
since 3-i is a root then 3+i s also a root

also the √7, so if √7 is a root then -√7 is also a root
so

f roots are r1 and r2 then the factored form is
f(x)=(x-r1)(x-r2)

roots are 3-i, 3+i and √7 and -√7

f(x)=(x-(3-i))(x-(3+i))(x-√7)(x-(-√7))
expanded
f(x)=x⁴-6x³+3x²+42x-70
You might be interested in
What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.
Lelu [443]

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of lineAnswer:

Step-by-step explanation:

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of line

8 0
3 years ago
In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one
Lapatulllka [165]

Answer:

(x-1)!

Step-by-step explanation:

lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B%28x%20-%20y%29%7D%5E%7B2%7D%20" id="TexFormula1" title=" {(x - y)}^{2} " alt=" {(x - y)
Lubov Fominskaja [6]

Step-by-step explanation:

=  {(x - y)}^{2}  \\  =  {x}^{2}  - 2xy +  {y}^{2}

3 0
3 years ago
Read 2 more answers
HEY over here PICK ME!!
Gre4nikov [31]
You can divide other shapes into triangles. Then you use what you know about the similar or congruent angles/sides (depending on your question) to determine congruency/similarity between other shapes.
6 0
4 years ago
Suppose that the growth rate of children looks like a straight line if the height of a child is observed at the ages of 24​ mo
Leto [7]
Is this a question or an answer? Because it looks like your trying to tell me this if you need help (if it is a question) be sure to pm me.
3 0
4 years ago
Other questions:
  • The model represents an equation. What value of x makes the equation true?
    12·2 answers
  • HELLLPPP PLLZZZZ IIII BEEEEGGGG UUU
    9·1 answer
  • The diagram shows a triangle on top of a rectangle. The combined area of the triangle and rectangle is 108 ft2
    7·1 answer
  • How is pi related to the circumference, diameter and radius of a circle
    7·1 answer
  • What is the slope of the line ?
    14·2 answers
  • Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit
    12·2 answers
  • The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There
    8·1 answer
  • Can someone help me on my homework?
    6·1 answer
  • I love u.
    13·2 answers
  • Kevin plants a total of 72 flowers in equal rows. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!