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
timama [110]
3 years ago
13

If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

You might be interested in
A triangle has the coordinates
Romashka-Z-Leto [24]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

A(4, - 1 ) → A'(- 4, - 1 )

B(3, - 3 ) → B'(- 3, - 3 )

C(0, 2 ) → C'(0, 2 )

6 0
2 years ago
Rewrite in slope intercept form x+y=3
Natali5045456 [20]

Answer:

y = -x + 3

Step-by-step explanation:

Subtract x and boom.

3 0
2 years ago
Read 2 more answers
Divide $800 between kofi and kweku so that kofi gets three times what kweku gets
AfilCa [17]

Answer:

600 and 200

Step-by-step explanation:

kofi  : kweku     is   3 :1

   so Kofi gets   3 out of ( 3 +1)  = 3/4 of 800  = 3/4 * 800 = 600

         kweku get s the rest   800- 600 = 200  

6 0
1 year ago
Solve for n:<br><br> n/4 + 1 = 5
jekas [21]

Answer:

n=16 :)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Is 63 even or odd
frutty [35]

c'mon bro you can't be this helpless

odd, even, even, even, even

3 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE ANSWER!!!!!!!!!
    7·1 answer
  • 15pts<br> rewrite 2y=8+4x in slope-intercept form.
    5·2 answers
  • What is the solution to the system of equations?
    15·1 answer
  • the height of the gateway arch show on the missouri quarter is 630 feet, or 7,560 inches. find how many 4-inch stacks for quarte
    14·1 answer
  • What are the minimum and maximum values of t for which |t + 3| ≤ 2
    15·1 answer
  • I need help with 4 questions
    12·1 answer
  • At a department store, Kendra has a debt greater than $25.00. Which could be Kendra’s balance? A.Negative 32 dollars B.Negative
    12·1 answer
  • At 4:00 am on Christmas Day, 1974 the eye of Cyclone Tracy was directly over Darwin. If Perth time is 1.5 hours behind Darwin ti
    8·1 answer
  • Simplify the expression:<br> 3x4+1=d
    13·2 answers
  • 52. Which of the value represent the origin *OA. 1O B.-1OC. 2O D.O
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!