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
astra-53 [7]
3 years ago
5

The following polynomial has factors (x + 8) and (3x + 2). Determine the value of k. −6x^3-55x^2+kx−16

Mathematics
1 answer:
RoseWind [281]3 years ago
6 0

Answer:

<h2>k = - 58</h2>

Step-by-step explanation:

Since (x + 8) and (3x + 2) are factors of the polynomial it means that if either one of them is equated to zero and substituted into the polynomial will give us zero

Using x + 8

We have

x + 8 = 0

x = - 8

Substitute the value of x into the polynomial

- 6x³ - 55x² + kx - 16

That's

- 6(-8)³ - 55(-8)² + k(-8) - 16 = 0

-6(-512) - 55(64) - 8k - 16 = 0

Expand

3072 - 3520 - 8k - 16 = 0

Simplify

- 464 - 8k = 0

8k = -464

Divide both sides by 8

k = - 58

Hope this helps you

You might be interested in
solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41​
Serjik [45]

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method).  We will work to eliminate one of the variables.  Since the y values are smaller, let's work to get rid of those.  That means we have to have a positive and a negative of the same number so they cancel each other out.  We have a 2y and a 3y.  The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2.  BUT they have to cancel out, so one of those multipliers will have to be negative.  I made the 2 negative.  Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

19(2) + 3y = 41 so

38 + 3y = 41 and

3y = 3.  Therefore,

y = 1

The solution set then is (2, 1)

6 0
3 years ago
Read 2 more answers
A letter is selected from the words in accommodation list all the possible outcomes
Luda [366]
Since a letter is selected from      a c c o m m o d a t i o n

Possible outcome:

It could be any of the thirteen letters. There are thirteen possibilities.

a      c     c     o       m     m     o     d     a    t      i     o     n          
8 0
3 years ago
HELP ASAP DUE IN 4 MINS. Pablo will spend at most $34 on gifts. So far, he has spent $19. What are the possible additional amoun
Nady [450]

Answer:

c> 34-19

Step-by-step explanation:

C> 15

4 0
3 years ago
What is 3x + 2 (x-y) ?
AfilCa [17]

Answer:

5x-2y

Step-by-step explanation: u multiply

3 0
3 years ago
Read 2 more answers
Solve for x.
Trava [24]

Answer:

You said what now?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A small company has 20,000 shares. Anastasia owns 400 of these shares. The company decides to split its shares. What is Anastasi
    8·2 answers
  • Which equation represents the quadratic parent function shifted to the left two units?
    10·1 answer
  • How do I solve these and what is the answer?
    5·1 answer
  • in a bag of 100 balloons, 12 are red and 13 are green. What fraction of the balloons in the bag are not red or green?
    12·2 answers
  • By using a unit rate how can you do 4 and 24
    14·2 answers
  • Is y=(x+3)^3 a function?
    9·1 answer
  • Find the difference of 128.04 - 8.287.
    13·1 answer
  • Please respond ASAP (Free response be specific and explain ! thanks )
    15·1 answer
  • What is the measure of angle D?​
    12·2 answers
  • Among all rectangles that have a perimeter of 188, find the dimensions of the one whose area is largest.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!