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
liq [111]
2 years ago
10

Solve the equation X³+2X²-5X -6​

Mathematics
1 answer:
Natali [406]2 years ago
6 0

Answer: x = {-1, -3, 2}

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

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |<u>  ↓    -1     -1     6 </u>      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

You might be interested in
A car dealership sold 84 cars in April. The dealership wants to increase the number of cars sold by 25% in May. How many cars wi
Agata [3.3K]

Answer:

The car dealer must sell 105 cars in May to reach his goal.

Step-by-step explanation:

Given that the car dealer sold 84 cars in April, and wants to increase his May sales by 25%, to determine the number of cars he must sell to reach his goal it is necessary to perform the following calculation:

84 + (84 x 0.25) = X

84 + 21 = X

105 = X

Therefore, the car dealer must sell 105 cars in May to reach his goal.

8 0
2 years ago
Ali sells tomatoes to 9 restaurants. each restaurants buys the same amount of tomatoes each day. suppose ali sells 162 pounds of
MariettaO [177]
162 / 9 = 18....so he sells 18 lbs of tomatoes to each restaurant
8 0
3 years ago
What is the decimal equivalent of 3/9?
Nitella [24]

\dfrac{3}{9}=\dfrac{3:3}{9:3}=\dfrac{1}{3}=0.3333...=0.\overline{3}\to B.

for the future:

\dfrac{1}{9}=0.\overline{1}\\\\\dfrac{2}{9}=0.\overline{2}\\\\\dfrac{3}{9}=0.\overline{3}\\\vdots\\\\\dfrac{n}{9}=0.\overline{n}\ for\ n\in\{1;\ 2;\ 3;\ ...;\ 9\}

7 0
3 years ago
Help please 34 points
fredd [130]

Answer:

B is ans ..................

4 0
2 years ago
Read 2 more answers
PLease help asap - 20 points
Ilia_Sergeevich [38]

Answer:

this is your answer of your question look it once

5 0
3 years ago
Other questions:
  • Really need this one ASAP please I need to pass my class!!!
    6·1 answer
  • PLEASE HELP GUYS HURRY
    7·1 answer
  • Caroline spent $42.14 on groceries after using coupons and store discounts. Without the coupons and store discounts, the groceri
    7·1 answer
  • THIS IS URGENT I NEED HELP ASAP PLEASE
    8·1 answer
  • If the sales tax for the city of Richmond is 6%, how much tax would you pay for a Playstation 5 that costs
    13·1 answer
  • Solve -8 = 2y – 2. Show your work and how to check your solution.
    12·1 answer
  • Find the percent change from $20 to $25
    14·1 answer
  • ..The total of Joshua's savings and $350 is $925.<br><br><br> Please help
    9·2 answers
  • Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [
    9·1 answer
  • The library has 28 science fiction books. Each shelf holds 5 books,
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!