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
Sophie [7]
3 years ago
8

Find all zeros x^3+2x^2+4x+21

Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

note when x = - 3

(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0

hence x = - 3 is a zero and (x + 3) is a factor and dividing gives

\frac{x^3+2x^2+4x+21}{x+3} = (x + 3)(x² - x + 7)

For zeros equate to zero

(x + 3)(x² - x + 7) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x² - x + 7 = 0 ← solve using quadratic formula

x = (1 ± \sqrt{1-28} ) / 2 = (1 ± 3i\sqrt{3} ) / 2

x = \frac{1}{2} ± \frac{3i\sqrt{3} }{2}

zeros are x = - 3, x = \frac{1}{2} ±\frac{3i\sqrt{3} }{2}


You might be interested in
What is the derivative of w=(t^2+1)^100<br><br> How is it 200t(t^2+1)^99?
GuDViN [60]
(t^2+1)^100

USE CHAIN RULE

Outside first (using power rule)

100*(t^2+1)^99 * derivative of the inside

100(t^2+1)^99 * d(t^2+1)

100(t^2+1)^99 * 2t

200t(t^2+1)^99
6 0
3 years ago
Read 2 more answers
The distance between (9,10 and (9,3)
spayn [35]
Using the distance formula
d= square root of (x2-x1)^2+(y2-y1)^2

(9-9)^2+(10-3)^2
0^2+7^2
0+49
Square root of 49 is 7
d=7
4 0
3 years ago
Lucy saved $50 by buying a chair that was on sale for 25% off the regular
neonofarm [45]

Answer:

$200

Step-by-step explanation:

Represent the regular price of the chair by c.

Then 0.25c =$50, and c = $200.

The regular price, c, was $200.

4 0
3 years ago
Read 2 more answers
state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv
Anarel [89]

The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

  • x-intercept = -4, -2 and 2
  • y-intercept = -9

<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

  • Increasing interval: (0.5, ∝) and (-∝, -3)
  • Decreasing interval: (-3, 0.5)

<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

  • Positive interval: (-4, -2) and (2, ∝)
  • Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

  • As x ⇒ ∝, f(x) ⇒ +∝
  • As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

#SPJ1

3 0
2 years ago
3x+2 if x less than 5
tensa zangetsu [6.8K]

Anwer:

Theres not enough info. given to solve the prob, post more info.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Is 8 yards greater or less than 20 feet
    15·2 answers
  • SOMEONE ANSWER THIS QUICK!!
    13·1 answer
  • A guidance counselor at a university career center is interested in studying the earning potential of certain college majors. He
    12·1 answer
  • Find the rule of f(0)
    11·1 answer
  • Change the following equation to slope, intercept form 3x-y=5. show your work​
    7·2 answers
  • Equation in words: eight more than a certain number, divided by six equals twenty seven​
    7·2 answers
  • 2. Given that the radius of the Earth is 6340 Km. calculate the Surface Acer of earth <br>​
    8·1 answer
  • Cos 55°<br> 0.9735<br> True or false
    15·1 answer
  • Why do many animals in grasslands stay together in herds?
    14·2 answers
  • The definition of opposite integers?!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!