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
mars1129 [50]
3 years ago
7

Find the greatest common factor of the polynomial: 10x^5+15x^4-25x^3

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

Option C is correct.

Step-by-step explanation:

We need to find the greatest common factor of the polynomial

10x^5+15x^4-25x^3

The greatest common factor is the number that is divisible by all 3 terms of the polynomial.

so, the common factor is 5x^3 for above polynomial

Taking out the common factor

5x^3(2x^2+3x-5)

Now the term in the bracket has no other common factor

So, the greatest common factor of 10x^5+15x^4-25x^3 is 5x^3

So, Option C is correct.

noname [10]3 years ago
8 0

Answer:

Third option.

Step-by-step explanation:

The greatest common factor (GCF) for a polynomial is defined as the largest monomial that divides each term.

Given the polynomial 10x^5+15x^4-25x^3, the GCF of the coefficients can be found by descompose each one of them into their prime factors:

10=2*5\\15=2*5\\25=5*5

You can observe that the GCF of the coefficients is:

GFC_{(coefficients)}=5

Now you need to find the GCF of the variables. You can notice that each term has at least one x³, then:

 GFC_{(variables)}=x^3

Threfore, the GCF of the polynomial is:

GCF=5x^3

You might be interested in
Solve the equation: 12+3/4x=14
Alinara [238K]

Answer:

x=2 and 2/3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How many times greater is the value of the 2 in the thousands place than the 2 in the tens place in the number 742,025?
Mazyrski [523]
All you would have to do is look at the 2 in the place of the thousands which equals 2000, then look at the 2 that is in the place of the tens, which equals 20, so (this might get complicated) 2000/20 is... (If you need more help just tell me)
7 0
3 years ago
Read 2 more answers
A particle is projected at a speed of 12 ms^-1 up a straight inclined track. Whilst on the
seraphim [82]

The time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.

<h3>Time of motion of the particle</h3>

The time taken for the particle to travel more than 8 meters from the point of projection is calculated as follows;

s = v₀t + ¹/₂at²

8 = 12t + (0.5 x 5)t²

8 = 12t + 2.5t²

2.5t² + 12t  - 8 = 0

solve the equation using formula method

t = 0.59 s

Thus, the time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.

Learn more about time of motion here: brainly.com/question/2364404

4 0
2 years ago
Nzkmaldfoasdgfjsadof
lidiya [134]

Answer:

hiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

7 0
3 years ago
A boat is 75 miles west and 60 miles north from the nearest port. What bearing should be taken to sail directly to port? S 39° E
Nimfa-mama [501]
I dont know this is really hard

7 0
3 years ago
Other questions:
  • At a school football game, in the stands there were 20 teachers. 8 of them were math teachers, 2 were social studies teachers, a
    13·1 answer
  • Which of the five measures of center (the mean, the median, the trimmed mean, the weighted mean, and the mode) can be calculated
    10·1 answer
  • The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi
    9·1 answer
  • REAL SQUARE ROOTS OF 36/49
    8·2 answers
  • 0.67, 43.8, and 1.0073 in expanded
    6·1 answer
  • TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or f
    6·1 answer
  • BONUS:
    6·1 answer
  • Please help. I don't understand how to figure out the problem.
    11·1 answer
  • 4x^3 -5x^2-23x+6 what is the distance to the nearest hundredth of a unit , between the two zeros that are closest to each other?
    10·1 answer
  • Can someone help with this math problem? 3 (x+6) = 27
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!