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
amid [387]
3 years ago
8

Find all the complex zeros for the polynomial function. show work f(x)=x^3-7x^2+x-7

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

  ±i

Step-by-step explanation:

Observing that the first two coefficients are the same as the last two, we can factor this function by grouping.

  f(x) = (x^3 -7x^2) +(x -7) = x^2(x -7) +1(x -7)

  f(x) = (x^2 +1)(x -7)

The factor x-7 has a real zero at x=7, so the complex zeros come from the quadratic factor (x^2 +1).

Setting that to zero and solving for x, we find ...

  x^2 +1 = 0

  x^2 = -1

  x = ±√(-1) = ±i

The complex zeros are x = +i and x = -i.

You might be interested in
Ratios Rates and Proportion
seraphim [82]
56 for 3 is the lowest price
8 0
2 years ago
A candy company used 8 pints of chocolate to
ad-work [718]

Answer:

They would need 24 pints of chocolate to make 6 boxes of candy

4 0
2 years ago
You are dealt 13 cards from a shuffled deck of 52 cards. Compute the probability that (a) your hand lacks at least one suit, (b)
Debora [2.8K]

Answer:

Attached is the image of the solution . cheers

4 0
3 years ago
There are 39.37 inches in 1 meter. How many inches are in 8 · 104 meters?
katrin2010 [14]

Step-by-step explanation:

1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\  = 319.05448inches

3 0
2 years ago
Question 2 Pyramids can be made of (check ALL that apply): circles squares triangles cylinders rectangles
PilotLPTM [1.2K]
The answers that apply are Triangles, Squares, and Rectangles. Because when you look at the base of the pyramid more closely, they are maded of 3 different kinds of shapes.
5 0
3 years ago
Other questions:
  • What is the width rounded to the nearest whole number? (width = 13.62 ft)
    12·1 answer
  • What comes after 95,000
    12·2 answers
  • In the parallelogram below, y = ?
    7·1 answer
  • Picture attached please help i will give brainliest answer
    11·2 answers
  • Hey i need help please
    7·1 answer
  • (ONLY TWO CAPITAL LETTERS FOR EACH) ANSWER CORRECTLY !!!!!! WILL MARK BRIANLIEST !!! PLEASE HELPPP !!!!!!!!!!!!!
    15·1 answer
  • I need helpn asap , i been on this for the longest
    14·2 answers
  • Logan took out $23,400 in student loans to attend college at a compound interest rate of 5%. He deferred payments for two years.
    13·1 answer
  • I will give brainliest answer if you can answer this please: In the following diagram, . Solve for each of the variables w, x, y
    15·1 answer
  • Can yu write a linear equation for this
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!