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
Blizzard [7]
1 year ago
14

If f(x)=2x^3-6x^2-16x-20f(x)=2x *3 −6x *2−16x−20 and f(5)=0, then find all of the zeros of f(x)f(x) algebraically.

Mathematics
1 answer:
mihalych1998 [28]1 year ago
8 0

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

<h3>How to obtain the solutions to the equation?</h3>

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 =  = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

  • a = 2.
  • -5c = -20 -> c = 4.
  • b = -6 + 5a = 4.

Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

  • x = -1 + i.
  • x = -1 - i.

More can be learned about the solutions of an equation at brainly.com/question/25896797

#SPJ1

You might be interested in
Two angles have measures of 53° and 127°. What type of angle pair do they form?
vodomira [7]
If it’s a triangle it’s An obtuse angle because so far 53 + 127 equals 180 and obviously if it’s a triangleyou need a third angle so it’d be over 180 meaning obtuse. If those are the only sides and it’s not a triangle then it’s a straight angle because a straight angle is 189 degress
6 0
3 years ago
Among two congruent angles ,one has measure 69⁰,then the measure of other angle is​
VMariaS [17]

Answer:

Your answer is

Congruent means similar.

Other angle is 69°

Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.

I need that urgently.

5 0
3 years ago
A 12 foot ladder is placed against the side of the building. The base of the ladder is placed at an angle of 68° with the ground
3241004551 [841]

Answer:

Step-by-step explanation:

A

3 0
3 years ago
Which system of linear inequalities is represented by the graph?  ax – 3y &gt; 6 and y &gt; 2x + 4 bx + 3y &gt; 6 and y &gt; 2x 
igor_vitrenko [27]

The <em><u>correct answer</u></em> is:

bx + 3y > 6 and y > 2x + 4

Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

bx+3y-bx > 6-bx

3y > 6-bx

Divide both sides by 3:

3y/3 > 6/3 - bx/3

y > 2 - (b/3)x

This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

3 0
3 years ago
Read 2 more answers
Select all the values that cannot be probabilities a. 3/5b. 1c. -0.45d. 0.06e. 1.16f. 0g. 5/3h. √2
nikitadnepr [17]

Answer:

c,-0.45 ,

e. 1.16

g. 5/3

h. √2

Cannot be probability.

Step-by-step explanation:

Probability of any occurrence is always in the interval of 0 to 1. 0 and 1 inclusive.

0≤P(A)≤1

Any value outside this boundaries cannot be probability.

Therefore, -0.45,1.16,5/3 and √2 cannot be probability.

4 0
3 years ago
Other questions:
  • What is the sum of the multiples of 6 between 6 and 999?
    6·1 answer
  • What is the first step in describing what figure results when given plane intersects a given three-dimensional figure?
    9·1 answer
  • H(x)=-3x-4 What is g(6)
    13·1 answer
  • Jordan received 30 text messages from his friends and 18 text messages from his parents. Write the radio that compares the numbe
    12·1 answer
  • What are three reasons for using a mann-whitney u test?​
    14·1 answer
  • I need emergent help matching these math words
    9·2 answers
  • 20 points! will mark brainliest!
    7·1 answer
  • Can someone help me please?
    5·1 answer
  • Help me please. Very much appreciated​
    5·1 answer
  • HELP PLEASEEEEEEE!!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!