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
Determine the intercepts of the line that correspond to the following table of values
almond37 [142]
Find the equation

alrighty, the slope is rise/run

from (21,-3) to (28,-1)
rise is from -3 to -1 or a rise of 2
run is form 21 to 28 or a run of 7


so slope is 2/7

y=2/7x+b
find b which is the y intercept
alirhgty
use (21,-3)
x=21 and y=-3
-3=(2/7)(21)+b
-3=42/7+b
-3=6+b
-9=b

y=2/7x-9

the y intercept is (0,-9
the x intercept is where y=0

0=2/7x-9
9=2/7x
63/2=x

x intercept is (63/2,0) or (31.5,0)
y intercept is (0,-9)
7 0
3 years ago
Larry borrows $1300 at 5% simple interest per month. When Larry pays the loan back 3 years later, what is the total amount that
Dafna11 [192]
I think that it’s 3640
5 0
3 years ago
Read 2 more answers
[Ignore the 2 problems] I need help on #9
3241004551 [841]
A.) x (5 + x) = 5x + x^2
B.) 2 (5 + x) = 10 + 2x
6 0
3 years ago
Juan cuts a piece of paper in half. he then cuts each half into thirds and each of those pieces into eights. finally, he cuts ea
Nookie1986 [14]

Answer:

D: 768

Step-by-step explanation:

First, he divides a piece of paper in half.

1 \div  \frac{1}{2}  = 2

He gets two pieces.

Next, he cuts each of the pieces into three parts.

2 \div  \frac{1}{3}  = 6

Thirdly, he cuts each of the 6 pieces into 8 pieces.

6 \div  \frac{1}{8}  = 48

Lastly, he divides each piece into 16 parts.

48 \div  \frac{1}{16}  = 768

He has 768 pieces in the end. (D)

7 0
3 years ago
The base of a parallelogram is 10 inches the height is 2 inches more than half the base find the area
Damm [24]

Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).

So height is h = 2 + (10 ÷ 2) = 2 + 5

⇒ h = 7 inches.

We know the formula for area of parallelogram is given as follows :-

Area of parallelogram = base x height

Area of parallelogram = 10 inches x 7 inches

Area of parallelogram = 70 squared inches.

Hence, the final answer is 70 squared inches.

8 0
3 years ago
Other questions:
  • Marisa painted 1/2 of her bedroom in 3/4 of an hour. At this rate, how long would it take her to paint the entire room?
    6·1 answer
  • Quotient of (-5) ÷ (-7)
    11·2 answers
  • (6x + 7) - (-9x - 9)
    11·2 answers
  • Find cos(sin-1(3/5))
    10·1 answer
  • Jorgen Grace made deposits of $250 at the end of each year for 12 years. The rate received was 6% annually. What is the value of
    13·1 answer
  • PLEASE HELP!!
    14·2 answers
  • Tom thinks a quarter of 64 larger than 50% of 34 is he right? Explain.
    13·1 answer
  • Can someone plz help me i am confused :)
    12·2 answers
  • Please help i can't figure this problem out​
    11·1 answer
  • {-13,-2,9,20,31,…} which term in this sequence is 306
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!