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
bija089 [108]
3 years ago
13

Given one zero of the polynomial function, find the other zeros.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

Answer:

Step-by-step explanation:

You need to use synthetic division to do all of these.  The thing to remember with these is that when you start off with a certain degree polyomial, what you get on the bottom line after the division is called the depressed polynomial (NOT because it has to math all summer!) because it is a degree lesser than what you started.

a.  3I   1   3   -34   48

I'm going to do this one in its entirety so you get the idea of how to do it, then you'll be able to do it on your own.

First step is to bring down the first number after the bold line, 1.

3I   1    3    -34    48

   _____________

      1

then multiply it by the 3 and put it up under the 3.  Add those together:

3I    1    3    -34    48

           3

----------------------------

      1     6

Now I'm going to multiply the 6 by the 3 after the bold line and add:

3I    1     3     -34     48                                                                                                    

             3      18

_________________

      1      6     -16

Same process, I'm going to multiply the -16 by the 3 after the bold line and add:

3I      1      3      -34      48

                3       18     -48

___________________

        1       6      -16       0

That last zero tells me that x-3 is a factor of that polynomial, AND that the depressed polynomial is one degree lesser and those numbers there under that line represent the leading coefficients of the depressed polynomial:

x^2+6x-16=0

Factoring that depressed polynomial will give you the remaining zeros.  Because this was originally a third degree polynomial, there are 3 zeros as solutions.  Factoring that depressed polynomial gives you the remaining zeros of x = -8 and x = 2

I am assuming that since you are doing synthetic division that you have already learned the quadratic formula.  You could use that or just "regular" factoring would do the trick on all of them.

Do the remaining problems like that one; all of them come out to a 0 as the last "number" under the line.

You got this!        

You might be interested in
5x – 6y = –29: ( __, 4)
Xelga [282]
Hola, qué tal tu día
7 0
3 years ago
Equalvant Terms to 6(5x + 9y)
Fed [463]

The Answer Is 30x+54y

have an amazing day <3

3 0
2 years ago
How many x intercepts appear on the graph of this polynomial function? f(x)=x^4-x^3+x^2-x
elena55 [62]
I believe that the answer is 3 intercepts

7 0
3 years ago
At the school election there were three candidates. Isabella got 40 votes, Amelia got 60 votes and Mason got ⅓ of the votes. How
notsponge [240]

Answer: 150 people voted in the election.

Step-by-step explanation:

Let x = Total number of votes.

Mason got \dfrac{x}{3} votes.

Isabella got 40 votes, Amelia got 60 votes.

Then,

Combined votes = 40+60+\dfrac{x}{3}=x

100=x-\dfrac{x}{3}\\\\100=\dfrac23x\\\\ x=100\times\dfrac32\\\\ x=50\times3\\\\ x=150

Hence, 150 people voted in the election.

3 0
2 years ago
2 + 2j = 6 what does J equall?
nordsb [41]

Answer:

2

Step-by-step explanation:

2+2(2)=6

2(2)=4

4=4

4 0
2 years ago
Read 2 more answers
Other questions:
  • Help please!!!!!!!!!
    11·1 answer
  • Help!!!!!!!
    11·1 answer
  • Which of the following lines is parallel to the graph of 5x+2y=8
    6·1 answer
  • Is 4.5 same as 4.50?
    7·2 answers
  • 30 points Please help will mark brainliest.
    6·1 answer
  • What is the area of this polygon​
    8·2 answers
  • Help me please I can’t do this anymore it’s so hard
    9·1 answer
  • Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it
    13·2 answers
  • ariana's 150g bag of trail mix is x% raisins. brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together
    14·1 answer
  • You want to create a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. The c
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!