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
fgiga [73]
3 years ago
8

Find all the zeros of

3%7D%20%20-%20%20%7B4x%7D%5E%7B2%7D%20%20%2B%207x%20-%202" id="TexFormula1" title="f(x) = {6x}^{4} - {7x}^{3} - {4x}^{2} + 7x - 2" alt="f(x) = {6x}^{4} - {7x}^{3} - {4x}^{2} + 7x - 2" align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:

  {-1, 1/2, 2/3, 1}

Step-by-step explanation:

I find a graphing calculator to be a most useful tool for problems like this. (See attached.)

_____

First of all, observe that the constant is -2, so 0 is not a zero.

It is often useful to look at the sum of coefficients. Here, that is 0, indicating 1 is a zero.

You can divide that out, or simply continue by looking at the sum of coefficients with odd-degree terms negated. Then you have 6 +7 -4 -7 -2 = 0, indicating -1 is also a zero.

__

At this point, it can be useful to divide out the factors you know. The synthetic division tableaus attached show that work. First is division by (x+1), then by (x -1).

The result of doing that is the quadratic ...

  6x^2 -7x +2 = 0

This can be factored ...

  (6x^2 -3x) -(4x -2) = 0 . . . . . . rewrite -7x and group term pairs

  3x(2x -1) -2(2x -1) = 0 . . . . . . . factor each pair

  (3x -2)(2x -1) = 0 . . . . . . the factorization of the remaining quadratic

The zeros of this are the values of x that make the factors zero: 2/3 and 1/2.

The zeros of the given function f(x) are x ∈ {-1, 1/2, 2/3, 1}.

You might be interested in
According to the distributive property, 6 (a + b) =
Helen [10]
The answer is option B. In the distributive property you need to multiply the constant that is outside of the parenthesis, with the terms that are inside :)
6 0
3 years ago
Read 2 more answers
Oliver runs 23 fewer laps than nate. Nate runs 61 laps. How many laps does oliver run?
Crazy boy [7]

Answer:

38

Step-by-step explanation:

Since Oliver ran 23 fewer laps, you would use subtraction.

So you do 61-23=38

Hope this helps!!

Let me know if you are confused.

5 0
3 years ago
Read 2 more answers
I need help with number 4!
lesya692 [45]

Answer:

x = -8, y = 6

Step-by-step explanation:

x + 2y = 4 ------(1)

x + y = - 2

y = - x - 2 ----------(2)

Substitute y in (1)

x + 2(- x - 2) = 4

x - 2x - 4 = 4

- x = 4 + 4

x = -8

Substitute x in (2)

y = - (- 8) - 2 = 8 - 2 = 6

5 0
2 years ago
Read 2 more answers
Multiply. assume that no denominator equals zero x^2-16
lawyer [7]
There's nothing to multiply. However, you can factor it to get (x + 4)(x - 4). 
4 0
3 years ago
I need help plzzz it is due in 5 minutes
gladu [14]

Answer:

Just tried this on a calculator

)) i think its 7/2!

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Use the number line to name the fraction or decimal. (H)
    11·1 answer
  • The table shows employment status for 1600 adults from five countries. Are the events S = "is Swedish" and E = "is employed"
    12·1 answer
  • The coordinates of the endpoints of AB are A(- 8, - 2) and B(16, 6) . Point P is on AB. What are the coordinates of point P, suc
    6·2 answers
  • PLEASE ANSWER!!!!!!
    8·2 answers
  • HELP ASP!!! IM SO LOST
    9·1 answer
  • Find the length of the unknown side. Round your answer to the nearest tenth.
    13·1 answer
  • Andy divided his one-third jar of equally between 2 projects. What fraction of a jar of paint did Andy use for each project? Exp
    11·1 answer
  • A computer that normally costs $890 is on sale with a 35% discount. What is the sale price?
    14·1 answer
  • Approximately 38 percent of people living in Region W have the blood type O positive. A random sample of 100 people from Region
    13·1 answer
  • Is almost always better to cite exact numbers rather than to round statistics up or down true or false
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!