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
r-ruslan [8.4K]
3 years ago
12

Factor of x^3-x^2-24x-36

Mathematics
1 answer:
Basile [38]3 years ago
5 0
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
You might be interested in
can someone help me simplify this: the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the th
VMariaS [17]
10x^6y^3 + 20x^3y^2 / 5x^3y = 
5x^3y (2x^3y^2 + 4y) / 5x^3y=
<span>2x^3y^2 + 4y
</span>
First you find what the expressions 10x^6y^3 and 20x^3y^2 have in common, and that is 5x^3y, which is the same as the denominator, so you can easily divide them and get 1. 
<span>Hope you understand!

</span>
8 0
3 years ago
Consider the graph with four lines below. On a coordinate plane, line a has a positive slope and goes through points (negative 1
yan [13]

Answer:

The correct option is;

line a and line b

Step-by-step explanation:

Lina a passes through (-1, 0) and (1, 2)

Line b passes through (2, 2) and (-1, -1)

Line c passes through (0, 3) and (1, 0)

Line d passes through y = 1

An equation that has no solution

By examination, from the plot of the coordinates using an online tool, the system that would have no solution is the system of line a and line b because they are parallel lines and cannot meet or have a point where there is a common solution, therefore, there are no solutions when the equations of the two lines are combined in one equation

Slope of line a = -2/-2 = 1

Slope of line b = 3/3 = 1

The slopes of lines a and b are equal, therefore, line a and line b are parallel.

5 0
3 years ago
Round 101 to the nearest ten
DENIUS [597]
100 is 101 to the nearest ten
6 0
3 years ago
Read 2 more answers
Which number line below shows points labeled correctly from least to greatest?
Misha Larkins [42]

Answer: C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
. The larger of two numbers is 7 less than twice the
Ganezh [65]

Answer:

x = 2y - 7

x + y = 47

substitute x

2y - 7 + y = 47

3y = 54

y = 18

x = 2x18 - 7

x = 29

4 0
3 years ago
Other questions:
  • A cylinder shaped storage tank has a radius of (x+5) metres and a height of x metres. Determine the dimensions (round to two dec
    8·1 answer
  • What is radical 50 - radical 2
    11·2 answers
  • I just need help with question A, plzz help mee!!
    6·1 answer
  • AHHHHHHHHHHHHHHHHHHHHHHHHHH
    8·1 answer
  • What is the slope for this? Please tell :)
    7·1 answer
  • Can somebody help me????????????
    6·2 answers
  • Can u help me plz??????
    13·1 answer
  • A box of cereal contains 15 3/5 ounces of cereal. If a bowl holds 2 2/5 ounces of cereal, how many bowls of cereal are in one bo
    13·1 answer
  • Help Please One Mixed Fraction<br><br> 1/2 x 1 4/9
    6·2 answers
  • Who are the two groups of people Ishmael faces danger from?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!