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
irina [24]
2 years ago
13

Find a polynomial f(x) of degree 3 with real coefficents and following zeros. -4,4i

Mathematics
1 answer:
ElenaW [278]2 years ago
7 0

Answer:

f(x)=x^3 +4x^2 +16x +64

Step by step explanation:

\text{Given that,  two roots are}~ -4~ \text{and}~  4i.\\\\\text{Let,}\\\\~~~~~~~x = 4i\\\\\implies  x^2 = 16i^2~~~~~~~;[\text{Square on both sides}]\\\\\implies x^2 = -16~~~~~~~~;[i^2 = -1]\\\\\implies x^2 +16 = 0\\\\\text{So,}~ x^2 +16~ \text{ is a factor of the 3 degree polynomial}.\\ \\ \text{The polynomial is ,}\\\\ f(x) = (x+4)(x^2 +16)\\\\~~~~~~~=x^3 +16x +4x^2 +64\\\\~~~~~~~=x^3 +4x^2 +16x +64

You might be interested in
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 80
Svetlanka [38]
Its an area equation. Area is length times width.

So to start, he needs 50x80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.

Now for the easy part. Take the 4000 and add 200. Answer? 4,200.
7 0
3 years ago
.0417 DIVIDED 100 PLZ HELP (⊙_⊙)
nikklg [1K]

Answer: 0.000417

Hope this helps can u give me brainliest

Step-by-step explanation:

7 0
3 years ago
In how many ways can 3 desserts be chosen in any order from a menu of 10?
AnnyKZ [126]
(1 × 10) + (2 × 10) + (3 × 10) =

10 + 20 + 30 = 60 different ways.
8 0
3 years ago
Tell whether the pair of polygons is similar.
scZoUnD [109]

Check the angles and corresponding sides: All the angles in a rectangle are congruent to each other and now check that the sides are proportional to each other. 2. Scale factor: If two polygons are similar, then the ratio of the lengths of the two corresponding sides is the scale factor.

3 0
3 years ago
Zachary rides his bike 6 miles in 2 hours. If he rides at a constant speed, select the answers below that are equivalent ratios
san4es73 [151]
The ratios that are equivalent are A, C and D
3 0
3 years ago
Read 2 more answers
Other questions:
  • Identify the like terms. 4x + 3 + 5x + y
    5·1 answer
  • Find the rate of change:
    11·1 answer
  • Which is an equation of a circle with center (−10, 6) and radius 8?
    9·1 answer
  • Add these fractions, giving your answer<br> in its simplest form.<br> 8/15 +3/15 =?
    8·1 answer
  • What is the surface area of this rectangular prism?
    15·1 answer
  • Help pls.. Fake answers will reported!...
    9·1 answer
  • Write the equation of the graphed in NO SPACES ALL LOWERCASE<br> Help !!
    5·1 answer
  • Given a box of 8 color crayons (Red, Blue, Green, Orange, Yellow, Brown, Black, Purple). If I remove a single crayon randomly, a
    9·1 answer
  • HELP!! Question in picture!
    13·1 answer
  • A stack of magazines is 4 2/5 inches high. Each magazine is 2/5 inch thick.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!