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
djverab [1.8K]
2 years ago
13

Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144

Mathematics
1 answer:
Monica [59]2 years ago
5 0

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

brainly.com/question/20896994

You might be interested in
Is 4.5 same as 4.50?
Softa [21]

Answer:

Yes

Step-by-step explanation:

0s after all the decimals do not count

4 0
3 years ago
Read 2 more answers
Which of the following is a function? A. (-4,5) (3,-3) (4,1) (9,2) B. (-4,3) (3,2) (-4,-5) (9,0)
iren [92.7K]
I would say it would most certainly have to be B
6 0
3 years ago
Read 2 more answers
Suppose an angle α is drawn in standard position. In each case, use the information to determine what quadrant α is in.
cupoosta [38]
Since <span> sin(α) > 0 and cos(α) > 0
so </span><span>α is IN THE FIRST QUADRANT  (I)</span>
4 0
3 years ago
Scott deposits $5,000 at the end of each year into an account for five years. Assuming 6% interest semiannually, what is the val
vfiekz [6]
I think the answer is d 28185.50 dollars. 
4 0
3 years ago
I dknt undertand nothing
Kitty [74]
Part A :
80x0.18= 14.4


Part B :
80x 0.075= 6


Part C
14.4+6 +80=$100
4 0
3 years ago
Other questions:
  • Change this equation to standard form <br> Y= (5x - 2) (x - 5)
    5·1 answer
  • 5m-6?<br> Can you help me
    5·1 answer
  • Cindy went to Maggie Moo’s for an ice cream cone after school. The ice cream cone had a radius of 3 inch, a height of 2 inches,
    9·1 answer
  • A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.
    12·1 answer
  • The graph of which function does not have a y-intercept of (0, 1)?
    13·2 answers
  • Determine if x+3 is a factor of -3x^3+6x^2+6x+9. How do u know
    5·1 answer
  • Which expression is equivalent to 7h^2-252k^2?
    15·2 answers
  • A photo of an ant in a science book is increased to 655​% as large as the actual size. If the ant is 14 ​millimeters, what is th
    14·1 answer
  • I need help pls how do u do this step by step? ):
    5·1 answer
  • 5/8 divided by 2<br><br> I need this fast!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!