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
Elena L [17]
3 years ago
10

10x^2+15x+5??? Rewrite the question by completing the square factor

Mathematics
2 answers:
Lyrx [107]3 years ago
4 0

Answer:

5 • (2x + 1) • (x + 1)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((2•5x2) +  15x) +  5

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10x2 + 15x + 5  =   5 • (2x2 + 3x + 1)  

Trying to factor by splitting the middle term

3.2     Factoring  2x2 + 3x + 1  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   2 • 1 = 2  

Step-2 : Find two factors of  2  whose sum equals the coefficient of the middle term, which is   3 .

     -2    +    -1    =    -3  

     -1    +    -2    =    -3  

     1    +    2    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  2  

                    2x2 + 1x + 2x + 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x+1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (2x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (2x+1)

            Which is the desired factorization

So the answer is:

 5 • (2x + 1) • (x + 1)

Juliette [100K]3 years ago
3 0

Answer:

2 (that is the answer, hope i helped)                                                                                                  

You might be interested in
-<br><img src="https://tex.z-dn.net/?f=%20-%203%5Cpi%20%2B%20w%20%3D%202%5Cpi" id="TexFormula1" title=" - 3\pi + w = 2\pi" alt="
pantera1 [17]

Isolate the w. Note the equal sign. What you do to one side, you do to the other.

Add 3π to both sides

- 3π (+3π) + w = 2π (+3π)

w = 2π + (3π)

w = 5π

w = 5π is your answer

hope this helps

4 0
2 years ago
I need help on photo above please!!!
Leya [2.2K]
Option two is the correct answer
Hope this helps :)
4 0
3 years ago
A student is painting a room at a constant rate. She is able to paint 2/5 of a room in 1/2 of an hour. How long does it take to
MrMuchimi

Answer:

75 minutes

Step-by-step explanation:

if it takes 30 minutes to paint 2/5 of the room, then it must take 15 minutes to paint 1/5 of the room.

15 * 5 = 75 minutes or 5/4 hours

7 0
3 years ago
A dance department is planning a holiday show. The department needs to raise at least $450 in order to cover the cost of costume
VLD [36.1K]
The answer is 24 dollars.
7 0
3 years ago
Simplify expressions using the distributive property
Zarrin [17]
9x + 27
-2y + 20
4x - 24
30x + 12xy
15x + 2 (?)

~ I’m not sure abt the last one! I’m sorry if they’re incorrect and I hoped this helps! ~
6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the square root of 200
    12·1 answer
  • There are 12 feet of wrapping paper on each roll. Jill needs 84 feet of wrapping paper. Which equation can Jill use to find the
    7·2 answers
  • Help meeeeedkxkdjsjs
    8·1 answer
  • You had 22 to spend on seven pencils. after buying them you had 8 how much did each pencil cost
    11·2 answers
  • What is the greatest common denominator
    6·1 answer
  • Which relationship between x and y in the equation shows a proportional relationship
    6·1 answer
  • If the experiment is consisting of rolling a fair die once, find:
    14·1 answer
  • Combine the like terms to create an equivalent expression:<br> \large{-2k-(-5)+1}−2k−(−5)+1
    7·1 answer
  • SOMEONE NEEDS TO EXPLAIN WHY 1.40 DIDNT WORK ON MY QUESTION 2.1/1.488
    12·1 answer
  • Bonjour, aidez moi svp .c'est sur la 1er guerre mondiale 1914
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!