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
Aleonysh [2.5K]
3 years ago
13

Consider the function f(x)=3x^3-5x^2-88x+60-5 is a root of f(x). Find all of the roots of f(x)

Mathematics
1 answer:
Tom [10]3 years ago
8 0
If -5 is a root then f(x) is divisible by x + 5

The quotient from this division is 3x^2 -20x +12
Factoring this:-

= 3x^2 - 18x - 2x + 12
= 3x(x - 6) - 2(x - 6)
= (3x - 2)(x - 6)
So 2 more roots are 2/3 and 6
All the roots are -5 , 2/3 and 6.  Answer
You might be interested in
A restaurant had a special on hamburger meal deals. They marked down the meals from $7 to $4. How much would you SAVE on 5 meal
vichka [17]

I did say the answer is $35. Because, you should use the highest factor or whatever operation the problem is using, to find the answer. Not sure if it's some two-step problem....

3 0
3 years ago
Please help me ASAP. This is for Trigonometry, Math
Rufina [12.5K]

Answer:  C) exactly one triangle

<u>Step-by-step explanation:</u>

Given: ∠A = 45°, ∠B = 65°, side c = 4 cm

By the Triangle Sum Theorem, ∠C = 70°

Now you have a proportion so you can use the Law of Sines to find the exact length of side a and of side b.

\dfrac{\sin\angle A}{a}=\dfrac{\sin\angle B}{b}=\dfrac{\sin\angle C}{c}\\\\\\\dfrac{\sin 45^o}{a}=\dfrac{\sin65^o}{b}=\dfrac{\sin70^o}{4}

Thus, there is exactly one triangle.

5 0
4 years ago
Use the zero product property to find the solutions to the equation x^2-13x+30=0
Daniel [21]

We need to solve the zeroes of the given expression x² - 13x + 30 = 0 and we need to apply zero product property.First, we need to identify the two numbers which will result to -13 when added and it will result to 30 when multiplied. These two numbers are -3 and -10. Then, we can proceed with the solution such as:
x² - 13x + 30 = 0
(x-3) (x- 10) =0
From above, we have already the two zero product:
x-3 = 0
x1 = 3
x-10 =0
x2 =10

The answers are x1 = 3 and x2 = 10.
8 0
4 years ago
Read 2 more answers
If f(x) = 6x2 - 4 and g(x) = 2x + 2, find (f - g)(x).
Dafna11 [192]

Answer:

6x² - 2x - 6

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 6x² - 4 - (2x + 2) ← distribute

= 6x² - 4 - 2x - 2 ← collect like terms

= 6x² - 2x - 6

7 0
3 years ago
Read 2 more answers
write a quadratic function that has a graph that contains the following points, (-2, 0), (4, -12), (5,0).
ankoles [38]

Answer:

f(x) =  2x^2 - 6x - 20.

Step-by-step explanation:

(-2, 0) and (5, 0)  are 2 zeroes of the function so we can write the function as

f(x) =  a(x + 2)(x - 5)   where a is a constant.

Now as (4, -12) is a point on the graph:

-12 = a(4 + 2)(4 - 5)

-12 = a * 6 * -1

-6a = -12

a = 2.

So f(x) = 2(x + 2)(x - 5)

f(x) =  2x^2 - 6x - 20.

4 0
3 years ago
Other questions:
  • A 12inch diameter pizza has 22 calories per square inch. About how many calories are in the entire pizza? Use 3.14 for pi. Selec
    8·1 answer
  • What is the solution to 2x-8&lt;12 ? <br> A. X&lt;2<br> B. X&lt;8 <br> C. X&lt;10<br> D. X&lt;40
    12·1 answer
  • What is a speculator? 5 POINTS PLEASE HELP!
    8·2 answers
  • How to find percentages
    10·1 answer
  • Find the area of the irregular polygon.<br> 8 ft<br> 4 ft<br> 12 ft
    10·2 answers
  • Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
    9·2 answers
  • The following are the last 10 run scores Colin got in cricket:
    13·1 answer
  • Which of the following rates is proportional to $2.50 for 5 cans?
    11·2 answers
  • Help please ASAP!!!!!!
    6·2 answers
  • Answer for 17 please???????????
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!