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
yulyashka [42]
3 years ago
15

LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………

Mathematics
1 answer:
sergejj [24]3 years ago
4 0

Answer:

(x^2 - 9)(x + 2)

Step-by-step explanation:

Given:

x^2 + 5x + 6

x^2 - x - 6

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

x^2 + 5x + 6

x^2 + 3x + 2x + 6

(x^2 + 3x) + (2x + 6)

x(x + 3) + 2(x + 3)

(x + 2)(x + 3)

x^2 - x - 6

x^2 - 3x +2x - 6

x(x - 3) + 2(x - 3)

(x + 2)(x - 3)

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

x^2 + 5x + 6 = (x + 2)(x + 3)

x^2 - x - 6 = (x + 2)(x - 3)

The common factors would be: =>

(x + 2) (this is common in both polynomials, so we would take just one of them as a factor.

(x + 3) and,

(x - 3)

Their product = (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)

You might be interested in
Please Square the Following Monomials
Luba_88 [7]

The Answers are :

  • 16m⁶

  • 25y⁸

  • 81a²b²

  • 100x⁴y⁴

  • 144c²d⁶

  • 225r⁴s⁸

  • 9/16a²

  • 25/9c²

  • 49/64m²

  • 16/25x⁴
3 0
2 years ago
Determine which of the following points lies on the line y= 5/4 x + 2
Katyanochek1 [597]
The point (4,7) is the only one that can be plugged into the equation and work. in this case when 4 is plugged in as X & Y is plugged in at 7 we get that 7=7, which is a true statement.
3 0
3 years ago
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decide
harkovskaia [24]
40 students makes for the DJ.
20 students makes for the decorations.
300 students makes for the profit.
so there was 360 students that went to the dance.
3 0
3 years ago
Read 2 more answers
A skateboard ramp has a slope of 4/9. What is the measure of the angle the ramp forms with the ground
Mama L [17]

Answer:

Step-by-step explanation:

tanθ = 4/9

θ = arctan(4/9) ≈ 23.96°

7 0
3 years ago
Which inequality represents that −14 more than twice a number is no less than 18?
yuradex [85]
-14>2x>18

Hope this helps!
5 0
3 years ago
Other questions:
  • Hello can you please help me posted picture of question
    14·1 answer
  • A solid lies above the cone z = x2 + y2 and below the sphere x2 + y2 + z2 = z. write a description of the solid in terms of ineq
    13·1 answer
  • Over the past 6 hours, Natalie spent 1/5 of each hour kneading bread. How much time did she spend kneading bread in all?
    11·1 answer
  • N is a positive integer.<br> Explain why n(n-1) must be an even number.
    6·1 answer
  • Y=2x, x=y=12 <br>how can I solve this question
    14·1 answer
  • 7. A box contains 5 balls. Two are numbered '7', two are numbered '8', and one ball is numbered '9'.
    11·1 answer
  • Min and Jessica collected 60 plastic bottles. They divided the plastic bottles evenly between them and sold the bottles to a rec
    15·1 answer
  • Which expression does not represent the sum of n and 6
    9·1 answer
  • The triangle shown above is possible.<br> O A. True<br> B. False
    5·2 answers
  • Describe the topics in this unit in your own words by explaining FIVE of the vocabulary words/phrases below. You will receive tw
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!