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
maxonik [38]
3 years ago
14

Select the correct steps for factoring the polynomial 5x^3-40

Mathematics
1 answer:
erastovalidia [21]3 years ago
7 0

Answer:

5 (x-2) (x²+2x+4)

Step-by-step explanation:

Stating with 5x³ - 40, the want to simplify the x part by extracting the common factor, so

5x³ - 40 = 5(x³-8)

Now to factor x³-8, we can rewrite it in the format x³-2³, right?

And there's a formula to obtain x³-y³, which is the Difference of Cubes formula that goes like this:  x³-y³= (x-y)(x²+xy+y²)

So, we apply this formula replacing the y with our value of 2:

x³-2³= (x-2)(x²+2x+2²) = (x-2)(x²+2x+4)

So, overall, we have 5x³ - 40 = 5 (x-2) (x²+2x+4)

You might be interested in
If there is a ratio of 3 to 2 what is the ratio of 3if the total is 30
xxMikexx [17]
45 will be the answer of 3 because 30 divide in 2 is 15. and 15x3 is 45.
YOUR welcome
7 0
3 years ago
'Il
Tresset [83]

The area of the rectangle will be 150 square meters.

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that:-

  • The length of a rectangle is 5 m longer than its width.
  • The perimeter of the rectangle is 50 m.

The area will be calculated as follows:-

From the given condition in the question, we can form two linear equations they are:-

The length of a rectangle is 5 m longer than its width.

L = w + 5

L - w = 5

The perimeter of the rectangle is 50 m.

P = 2 (L + w )

2 ( L+ w ) = 50

L + w = 25

by solving the two equations we will get the values of L and w.

L - w = 5  or w = L - 5

L + w = 25

L + L - 5 = 25

2L = 30

L = 30 / 2

L = 15

Put the value of L in any equation to get w.

L - w = 5

15 - w = 5

w = 10

Now the area of the rectangle will be:-

A = L x w

A = 15 x 5

A = 150 square meters.

Therefore the area of the rectangle will be 150 square meters.

To know more about an area follow

brainly.com/question/25292087

#SPJ1

3 0
2 years ago
Please help worth my math
shepuryov [24]

a)QM and PM

b)QMN and NMQ

c)M

4 0
2 years ago
Solve 2r ≤ 3(2r - 7)
Hoochie [10]
You have:
2r\leq6r-21
then move the 6r over to the left and you end up wtih
-4r\leq-21
Then you divide by -4 and when you do you must flip the inequality so your answer would be
r \geq21/4
8 0
3 years ago
Read 2 more answers
Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.
kramer
1. The commutative property is not true for addition.
4 0
3 years ago
Read 2 more answers
Other questions:
  • The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. The standard deviation of this dat
    14·1 answer
  • If I work 3:30 p.m. and left at 12:15 midnight how many hours did I work
    15·2 answers
  • You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 125 km south and 135 km east. Mt. Rainier is locat
    12·1 answer
  • when an apple orchard owner plants 65 trees on an acre of ground, he gets an average yield of 1500 apples per tree per year. For
    9·1 answer
  • PLEASE HELP ASAP
    5·1 answer
  • 3 3/10 ÷ 1 4/7 to the lowest terms ​
    15·1 answer
  • Eboni ran the perimeter of the basketball court twice. The court is a rectangle with the dimension of 28 3/4 meters and 15 1/4 m
    5·1 answer
  • A scale model of a rectangular patio is 6 feet long a 3 feet wide. The actual patio is 15 feet long. What Is the area of the act
    12·1 answer
  • PLZ HELP I will give brainliest to the right answer
    7·2 answers
  • Mrs. Hartman is taking her students on a field trip to six flags! Ms. Kinchen allowed her to take all 116 of her students! BUT,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!