Find the fourth degree polynomial function with zeros 6,-6,6i

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

6 is a solution to x-6=0, -6 is a solution to x+6=0, and 6i is a solution to x^2+36=0. So, we can do (x-6)(x+6)(x^2+36) to get (x^2-36)(x^2+36) which gets us x^4-1296. Therefore, the fourth degree polynomial with zeroes 6, -6, 6i is x^4-1296


Related Questions

if p(q) = q^2 + 4q − 12,then what is p(−1)?

Answers

Answer: p(-1) = -15

Step-by-step:

Plug -1 into the equation in place of q.

p(-1) = (-1)^2 + 4(-1) - 12

p(-1) = (-1)^2 - 4 - 12

p(-1) = (-1)^2 -16

p(-1) = 1 - 16

p(-1) = -15
1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11
-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization

Equation at the end of step
1
:

(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : q+2 = 0

Subtract 2 from both sides of the equation :
q = -2

Solving a Single Variable Equation:

2.3 Solve : q-6 = 0

Add 6 to both sides of the equation :
q = 6

Supplement : Solving Quadratic Equation Directly

Solving q2-4q-12 = 0 directly

HAS ANYONE EVER DONE MARKET DAY AT SCHOOL IT IS SO STRESSFUL HELPPPPP

Answers

Kind of, Market day as in make stuff and then sell it or Market day as in Sell food, I remember this in elementary school 2 Different Kind of Market day :)

nicole sold half of her comic books then bought 12 more . She now has 25 books. How many did she begin with.

Answers

26 because 25-12 is 13 and 13x2 is 26

You barrow 300$ for 5 years at an interest of 4% what is the interest you paid

Answers

Answer:

$60

Step-by-step explanation:

There's not enough information. We need to know how often the interest is compounded. I'll assume it's yearly. If not, you can apply the same method to what it actually is.

If it's compounded yearly that means it's going to be compounded 5 times so the equation becomes.

5*(300*4%)

which is:

5*(300*.04)

which becomes:

5*12

Which is:

$60

Petra runs 2 miles in 22 minutes. How long would it take her to run 12 miles?

Answers

Answer:

132 minutes

Step-by-step explanation:

First find how long it would take her to run 1 mile.

We can do this by dividing 22 by 2.

22 / 2 = 11

It takes her 11 minutes to run 1 mile.

Then multiply that by 12 to find out how long it would take her to run 12 miles

12 * 11 = 132

It would take her 132 minutes to run 12 miles

Answer:

132 minutes to run 12 miles

Eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week Eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine the number of hours Eva worked tutoring last week, x,x, and the number of hours Eva worked clearing tables last week, yy.

Answers

Answer:

48 and 32 6 hours clearing tables and 2 hours tutoring

Step-by-step explanation:

we can rewrite this as a fraction. we will use 1/10s because 80 can be divided by 8 which is in the problem. we then have to find out what two numbers add up to 8 but one is 3 times the other. 6 and 2 fit into this problem so we plug it into the equation and we write it as this 6x+4x=80 where x is 8. we get 48 and 32.

Which of the following choice completes the diagram?
A. Credit card companies
B. Issuer banks
C. Banks
D. All of the choices

Answers

Answer:

D. All if the choices , credit cars , banks and issuer banks

help pls will mark brainliest if it is correct, its not 72.

Answers

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

The top has 6 faces, so 6 x 2 = 12

The bottom has the same, 12

The left side has 3, 3 x 2 = 6

The front and inside has 6, x 2 = 12

The right side has 2 x 2 = 4

The back has 3 x 2 = 6

12 + 12 + 6 + 12 + 4 + 6 = 52

graph -1,-1 on this graph​

Answers

Answer:

UP THE DOWN THAT WHAT I GOT

Step-by-step explanation:

Shania bought a $1455 drum set on the installment plan. The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each.

Answers

Answer:

A

Step-by-step explanation:

A small cup holds 75% as much as a large cup. If the small cup holds 36 units, how much does the large cup hold?

Answers

Answer:

48

Step-by-step explanation:

75/100 = 36/x

x = 48

Solve using the Quadratic Formula:

a) -7x^2 + 7x + 1 = -8

b) -6x - 1 + 5x^2 = 8x^2

Show your work.

Answers

A. - 7x² + 7x + 1 + 8 = 0

- 7x² + 7x + 9 = 0

x = - b ± √b² - 4ac / 2a

= - 7 ± √7² - 4 (-7) (9) / 2 (-7)

= - 7 ± √49 + 252 / - 14

= - 7 ± √ 301 / - 14

x = - 7 + 17.349 / - 14 x = - 7 - 17.349 / - 14

= 10.349 / - 14 = - 24.349 / - 14

= - 0.739 = - 1.739

B. 8x² - 5x² + 6x + 1 = 0

3x² + 6x + 1 = 0

x = - b ± √b² - 4ac / 2a

= - (-5) ± √-5² - 4 (3) (1) / 2 (3)

= 5 ± √25 - 12 / 6

= 5 ± √ 13 / 6

x = 5 + 3.606 /6 x = - 5 - 3.606 / 6

= 8.606/6 = - 8.606/6

= 1.434. = - 1.434

please re-check the answers hope this helps

Find the slope of the line that passes through (-2, -44) and (-1, -70).

Answers

Let m = slope of the line.

m = delta y/delta x

m = (-70 -(-44)/(-1 -(-2)

m = (-70 + 44)/(-1 + 2)

m = -26/1

m = -26

Understand?

1. What is the next number in the pattern below?
0, 5, 11, 18, _____

can someone pls help me with this? Thank you!

Answers

26

0 to 5 = +5
5 to 11 = +6
11 to 18 = +7
18 to ? = +8
? = 26

Which of the following expressions are equivalent to 40x+30y choose all that apply

Answers

Answer:

1,390 I think that's the answer

Step-by-step explanation:

hope that helps

The expression equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given are some expressions in the options.

Distributive rule says that,

a ( b + c ) = (a b) + (a c), where a, b and c are any numbers.

5x(8 + 6) = 5x(14) = 70x

5(8x + 6y) = 40x + 30y

10(40x + 30y) = 400x + 300y

10(4x + 3y) = 40x + 30y

2y(20x + 15) = 40xy + 30y

2(20x + 15y) = 40x + 30y

Hence the expressions which are equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).

Learn more about Expressions here :

https://brainly.com/question/21751419

#SPJ2

The complete question is :

Which of the following expressions are equivalent to 40x+30y. Choose all that apply.

5x(8 + 6)

5(8x + 6y)

10(40x + 30y)

10(4x + 3y)

2y(20x + 15)

2(20x + 15y)

Are two similar triangles necessarily congruent? Why?​

Answers

if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle

i cant decide if its b or d please help for brainlist !!!!!!!!!!!!!

Answers

[tex]y = 81( \frac{1}{3} ) {}^{x} \\ [/tex]

This is right answer because option d only shows that y are multiples in sequence but this answer shows the correct sequence

A is correct! Our base number is 9 since it's at x = 0. The number gets smaller as x increases, so it will be 1/3 instead of 3.

Hope this helps :)

Solve for b.
r=5(b + a)

help timed

Answers

Answer:

b=(r/5)-a

Step-by-step explanation:

To solve, you do the mathematics.

r=5(b+a)

r=5b+5a

5b=r-5a

b=(r/5)-a

your answer would be b(r/5)-a

solve the system of equations

y =2x -9

y = x - 4

Answers

y=2x-9
y=x-4

x-4=2x-9

+9 each side=

x+5=2x

-x each side=

5=x

flip for the final answer of x=5

help fast it due at 11pm

Answers

Answer:

multiplying 14/15 by 5 then dividing by 7

Xavier's pet turtle laid eggs! So far, only 2 eggs have hatched for every 5 that are unhatched. If Xavier's turtle laid 35 eggs in all, how many eggs have hatched?

Answers

21 eggs have hatched


hopefully this helps!

Answer: 21

Step-by-step explanation:

u +7 at u=9 step by step explanation plus answer i really need to know how please

Answers

Answer: 16

u=9 so we can plug 9 into the equation.

9 + 7 = 16

write f(2)=3 in coordinate
form (x,y)

Answers

Answer:

Coordinate  form is [tex](x,y)=(2,3)[/tex]

Step-by-step explanation:

Usually the form is

[tex]f(x)=y[/tex]

Here

We have [tex]f(2)=3[/tex]

Hence [tex](x,y)=(2,3)[/tex]

Write the integer from least to greatest. 4, 12, -12, -11

Answers

Answer:

-12, -11, 4, 12

Step-by-step explanation:

A negative number is less the higher it is, and a positive number is more the higher it is

Write the equation for f(x)=x3
after being translated to the left
8 units and up 3 units.

Answers

Using translation concepts, the equation will be given by:

[tex]g(x) = (x + 8)^3 + 3[/tex]

The parent function is:

[tex]f(x) = x^3[/tex]

Shifting a function left 8 units means that [tex]g(x) = f(x + 8)[/tex], hence:

[tex]g(x) = f(x + 8) = (x + 8)^3[/tex]

Shifting a function up 3 units means that 3 is added to the function, that is, [tex]g(x) = f(x + 8) + 3[/tex], hence:

[tex]g(x) = f(x + 8) + 3 = (x + 8)^3 + 3[/tex]

Which is the desired equation.

You can learn more about translation concepts at https://brainly.com/question/4521517

Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on taking
out a 5-year loan at an APR of 4.21%. What is the monthly payment?

Answers

Answer: Alan's monthly payment would be $973.53.

Answer:

Alan monthly payment is going to be $56

Step-by-step explanation:

If f(x) = x2 + x - 8, find f(-3).

Answers

Answer:

-17

Step-by-step explanation:

it's telling you to replace x with -3.

You have to replace all the x's with -3.

(-3)2 + (-3) - 8 = -17

Algebra problem is in the picture attached. PLEASE HELP!

Answers

Answer:

Step-by-step explanation:

Sally is solving the linear equation 13 + 4x - 9 = 7x + 7 - 3x. Her final two steps are:
4 + 4x = 4x + 7
4 = 7
Select the statement that correctly interprets Sally's solution.
Lesson Link
1 The solution is x = 0.
2 The solution is the ordered pair (4,7).
3 There is no solution since 4 = 7 is a false statement.
4 There are infinitely many solutions since 4 = 7 is a false statement.
a
Enter the answer number!

Answers

Answer: C. there is no solution since 4=7 is a false statement



Step-by-step explanation:

the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation

Answers

Answer:

x=13

y=5

13-5=8

13+5=18

Step-by-step explanation:

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