Sign In
Ask Question
Garrett Tanner
Mathematics
24 March, 12:28
How do I factor 125x^3+8
+4
Answers (
1
)
Eliza Griffin
24 March, 12:48
0
Step 1:
53x3 - 8
Step 2:
Trying to factor as a Difference of Cubes:
2.1 Factoring: 125x3-8
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 + ab + b2)
Proof : (a-b) • (a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3 + (a2b-ba2) + (ab2-b2a) - b3 =
a3+0+0+b3 =
a3+b3
Check : 125 is the cube of 5
Check : 8 is the cube of 2
Check : x3 is the cube of x1
Factorization is:
(5x - 2) • (25x2 + 10x + 4)
Trying to factor by splitting the middle term
2.2 Factoring 25x2 + 10x + 4
The first term is, 25x2 its coefficient is 25.
The middle term is, + 10x its coefficient is 10.
The last term, "the constant", is + 4
Step-1 : Multiply the coefficient of the first term by the constant 25 • 4 = 100
Step-2 : Find two factors of 100 whose sum equals the coefficient of the middle term, which is 10.
-100 + - 1 = - 101
-50 + - 2 = - 52
-25 + - 4 = - 29
-20 + - 5 = - 25
-10 + - 10 = - 20
-5 + - 20 = - 25
For tidiness, printing of 12 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found!
Conclusion : Trinomial can not be factored
Final result:
(5x - 2) • (25x2 + 10x + 4)
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“How do I factor 125x^3+8 ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
If m^2 + 8 = 39, then m^2-7=?
Answers (2)
Y=-2x + 7 y = 5x - 7 i don't know how to do this question
Answers (1)
Paulo had a rope that was 15 feet long. He cut off n feet of the rope to hang a bird feeder. Paulo now has 11 1/2 of rope left. Write an equation to represent the problem
Answers (1)
Determine whether f (x) = 1/2x^2-x-9 has a maximum or minimum value and find the value
Answers (1)
A 55% decrease followed by a 25% increase
Answers (1)
New Questions in Mathematics
A newspaper reporter wants to know how popular the hobby of bird watching is in the city. He asked people at the local bird refuge if they watched birds as a hobby. Which of the following best explains whether the reporters data is valid or not?
Answers (1)
I am very confused on how to figure out if y = 3/4x is proportional?
Answers (2)
Alison wants to buy a mountain bike for $339.12. If she saves $28.26 each month, in how many months will she be able to buy the bike?
Answers (2)
At 12 o'clock the temperature was 7°C. The temperature decreased by - 20°C. What is the new temperature?
Answers (1)
Ashleys rentals charges $27.50 per hour to rent a surfboard and a wetsuit. Darlas surf shop charges $23.25 per hour to rent a surfboard plus $17 extra for a wetsuit.
Answers (1)
Home
»
Mathematics
» How do I factor 125x^3+8
Sign In
Sign Up
Forgot Password?