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
soldi70 [24.7K]
2 years ago
14

Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?

Mathematics
2 answers:
likoan [24]2 years ago
5 0

\mathrm{Use\:the\:rational\:root\:theorem}

a_0=15,\:\quad a_n=2

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:3,\:5,\:15,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:3,\:5,\:15}{1,\:2}

-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3

-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3

\mathrm{Compute\:}\frac{2x^3-5x^2-28x+15}{x+3}\mathrm{\:to\:get\:the\:rest\:of\:the\:eqution:\quad }2x^2-11x+5

=\left(x+3\right)\left(2x^2-11x+5\right)

Factor: 2x^2-11x+5

2x^2-11x+5=\left(2x^2-x\right)+\left(-10x+5\right)

=x\left(2x-1\right)-5\left(2x-1\right)

2x^3-5x^2-28x+15=\left(x+3\right)\left(x-5\right)\left(2x-1\right)

\left(x+3\right)\left(x-5\right)\left(2x-1\right)=0

\mathrm{Using\:the\:Zero\:Factor\:Principle:}

thus zeros of f(x) is

x=-3,\:x=5,\:x=\frac{1}{2}

abruzzese [7]2 years ago
4 0

Answer:

I think it is 5, -3, 1/2.

You might be interested in
Find the value of the given variable (-4, r) (-8, 3) m=5
UNO [17]
R=23 because its slope the formula is Y-Y/X-X


6 0
3 years ago
Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to
MrRissso [65]
9*13=117
12*16=192

We increased three meters to both the length and width of the garden.
6 0
3 years ago
Read 2 more answers
two person A and B spent a total of pkr 486 .Person A spent twice as much money as person B. How much money did person A spend
Phoenix [80]

9514 1404 393

Answer:

  pkr 324

Step-by-step explanation:

Person A spent 2/3 of the total money spent, so ...

  (2/3)(pkr 486) = pkr 324 . . . spent by person A

8 0
2 years ago
The ratio of boys to girls is 3:2. If there are a total of 20 children in Mrs. Nelson's class, how many are girls?​
Scilla [17]

12:8

So 12 boys

8 girls

8 0
2 years ago
120 110 A pick-your-own blueberry farm offers 6 pounds of blueberries for $14. Cost (dollars) 100 90 Drag the points to create a
shutvik [7]

The relationship between cost and pounds of blueberries is y = (7/3)x

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the cost in dollars for x pounds of blueberries.

Since 6 pounds of blueberries cost $14, hence:

m = $14/ 6 pound = $7/3  per pound

Therefore the relationship between cost and pounds of blueberries is y = (7/3)x

Find out more at: brainly.com/question/25445678

5 0
3 years ago
Other questions:
  • Hhheellpp mee please
    6·1 answer
  • What is the x value of 10=-x-8-6
    11·1 answer
  • Find the sum or difference.
    12·1 answer
  • What is the pythagoras theorem?
    12·1 answer
  • Does anyone know the answer to this question?
    14·1 answer
  • The following argument is an instance of one of the five inference forms MP, MT, HS, DS, Conj. Identify the form.
    14·1 answer
  • Donovan: m=312.3 b=18.5<br> Find the slope of the linear model
    5·1 answer
  • How do i do this :(
    10·1 answer
  • WHAT IS 25,000- 16% =
    7·2 answers
  • Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!