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
jonny [76]
2 years ago
5

How to factor 2x^2+x-15

Mathematics
1 answer:
nekit [7.7K]2 years ago
4 0

Answer:

(2x - 5) • (x + 3)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -15 = -30


Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   1 .


     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1    That's it


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  6

                    2x2 - 5x + 6x - 15


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

                   x • (2x-5)

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

                   3 • (2x-5)

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

                   (x+3)  •  (2x-5)

            Which is the desired factorization


Final result :

 (2x - 5) • (x + 3)

You might be interested in
If the length of a netball court is 30.5m what scale has been used on this diagram?
aleksklad [387]
Provide the measurements of the court in the book, please.
8 0
3 years ago
90/9 as a whole number
stiks02 [169]

Answer:

10

Step-by-step explanation:

5 0
2 years ago
Expanded form of (x+a)(x+b)
GenaCL600 [577]

Answer:

2x (a+b)

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Liam bought 5 7/8 pounds of steak. He used 2 1/16 pounds of steak for a cookout.
Ket [755]

The pounds of steak remaining after the cookout is 3 13/16 pounds

Given:

Total steaks bought = 5 7/8

Steaks used for cookout = 2 1/16

Total steaks remaining = Total steaks bought - Steaks used for cookout

= 5 7/8 - 2 1/16

= 47/8 - 33/16

= (94-33) / 16

= 61/16

= 3 13/16 pounds

Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds

Learn more about fraction:

brainly.com/question/1622425

3 0
2 years ago
In circle N, KL ≅ ML. What is the measure of ?
pentagon [3]
This is the concept of geometry, for us to get the value of JM we will requires to get the value of x first;
From the diagram we have been told that;
KL=ML
KL=7x+7
ML=8x-3
thus;
8x-3=7x+7
collecting the like terms we get;
8x-7x=7+3
x=10
But, JM=13x+2
substituting the value of x in JM we get:
JM=13(10)+2
JM=130+2
JM=132
The answer is 132°

3 0
3 years ago
Read 2 more answers
Other questions:
  • In a class of 116 students, the number of boys is three times the number of girls. How many boys and how many girls are in the c
    8·1 answer
  • What is the unit for the volume of a plastic block
    13·1 answer
  • Rewrite using a single exponent.<br> 53.53
    13·1 answer
  • The distance between two towns is 83km. Write this distance to the nearest 10?
    10·1 answer
  • What is the answer for this
    14·1 answer
  • Replace the values of m and n to show the solutions of this equation. <br> x^2 + 6x - 5 = 0
    12·2 answers
  • The circumference of a circle that has a radius of 70 feet is most nearly
    10·1 answer
  • The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how
    12·1 answer
  • Graph the linear function with a table.<br> h(x) = -5x
    11·1 answer
  • A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!