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
adoni [48]
2 years ago
11

Simplify: (4p3 + 6p2 – 7) – (8p? – 7 – 3p)

Mathematics
1 answer:
Kipish [7]2 years ago
5 0

Answer:

4p3 + 6p2 - 8p - 7

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((4 • (p3)) +  (2•3p2)) -  7) -  8p

STEP

2

:

Equation at the end of step

2

:

 ((22p3 +  (2•3p2)) -  7) -  8p

STEP

3

:

Checking for a perfect cube

3.1    4p3+6p2-8p-7  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  4p3+6p2-8p-7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -8p-7

Group 2:  4p3+6p2

Pull out from each group separately :

Group 1:   (8p+7) • (-1)

Group 2:   (2p+3) • (2p2)

3.3    Find roots (zeroes) of :       F(p) = 4p3+6p2-8p-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  p  for which   F(p)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  p  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  -7.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,7

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        3.00    

     -1       2        -0.50        -2.00    

     -1       4        -0.25        -4.69    

     -7       1        -7.00       -1029.00    

     -7       2        -3.50        -77.00    

     -7       4        -1.75        3.94    

     1       1        1.00        -5.00    

     1       2        0.50        -9.00    

     1       4        0.25        -8.56    

     7       1        7.00        1603.00    

     7       2        3.50        210.00    

     7       4        1.75        18.81    

Final result :

 4p3 + 6p2 - 8p - 7

You might be interested in
The function h(t)=-4.92t^2+17.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in
nikklg [1K]
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575

</span> For the domain we have:
<span> </span>We match zero:
 -4.92t ^ 2 + 17.69t + 575 = 0
 We look for the roots:
 t1 = -9.16
 t2 = 12.76
 We are left with the positive root, so the domain is:
 [0, 12.76]

 For the range we have:
 We derive the function:
 h '(t) = - 9.84t + 17.69
 We equal zero and clear t:
 -9.84t + 17.69 = 0
 t = 17.69 / 9.84
 t = 1.80
 We evaluate the time in which it reaches the maximum height in the function:
 h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
 h (1.80) = 590.90
 Therefore, the range is given by:
 [0, 590.9]

 Answer:
 the domain and range are:
 
domain: [0, 12.76] range: [0, 590.9]
5 0
3 years ago
Read 2 more answers
Solve for y <br><br> 5y- 10x = 45
nasty-shy [4]

Answer:

y=9 (x=-4.5)

Step-by-step explanation:

you have to split the equation up in order to solve

5y=45

divide by 5 on both sides

y=9

-10x=45

divide by -10

x=-4.5

6 0
3 years ago
s below which does not belong? motivation self confidence positive attitude coordination conscientiousness
Alenkinab [10]
I would say that coordination doesn't belong. The other words seem to do with a person's personality or mentality, while coordination is more of a physical ability.
3 0
3 years ago
Divide the given polynomial by the given monomial.​
yanalaym [24]

Answer:

Here are the answers. Need to have 20 characters for answer. Phew

6 0
2 years ago
PLEASE !!! HELP QUICKLY !!!
lisov135 [29]

Answer:

1 Year & 14.99%

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Point A is located in which quadrant ?
    8·1 answer
  • The function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number
    15·2 answers
  • Julie spent $57.83 for her party. She spent some of the money on decorations and $39.59 on food. How much did Julie spend on dec
    9·2 answers
  • How to calculate percentage increase
    10·1 answer
  • To solve the inequality m/-7&lt;(or equal to) 14 , what should be done to both sides?
    13·2 answers
  • How do you solve 7.2 / .9 + 4 x 4
    5·1 answer
  • The length of a rectangle is five times its width.
    14·1 answer
  • I need help on number 1.
    15·2 answers
  • Need Helpppp as soon as possible
    13·2 answers
  • In the last 150 years, the average height of people in the industrialized nations has increased by 1/3 foot. Today, American men
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!