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
ycow [4]
3 years ago
15

What are the steps to (3w^3+7^2-4w+3) and (w+3)

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0
<span>Equation at the end of step  1  :</span><span> <span> Step  2  :</span></span><span>Equation at the end of step  2  :</span> <span> Step  3  :</span><span> 3w3 + 7w2 - 4w + 3 Simplify /  w + 3 </span>Checking for a perfect cube :

<span> 3.1 </span>  <span> 3w3 + 7w2 - 4w + 3</span>  is not a perfect cube

Trying to factor by pulling out :

<span> 3.2 </span>     Factoring: <span> 3w3 + 7w2 - 4w + 3</span> 

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

Group 1:  -4w + 3 
Group 2: <span> 3w3 + 7w2</span> 

Pull out from each group separately :

Group 1:   (-4w + 3) • (1) = (4w - 3) • (-1)
Group 2: <span>  (3w + 7) • (w2)</span>

<span>Bad news !! Factoring by pulling out fails :

</span>The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

<span> 3.3 </span>   Find roots (zeroes) of :      <span> F(w) = 3w3 + 7w2 - 4w + 3</span>
Polynomial Roots Calculator is a set of methods aimed at finding values of  w  for which   F(w)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  w  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  3  and the Trailing Constant is <span> 3.

 </span>The factor(s) are:

of the Leading Coefficient : <span> 1,3
 </span>of the Trailing Constant : <span> 1 ,3

 </span>Let us test ....

<span><span>  P   Q   P/Q   F(P/Q)    Divisor</span><span>     -1     1      -1.00      11.00   </span><span>     -1     3      -0.33      5.00   </span><span>     -3     1      -3.00      -3.00   </span><span>     1     1      1.00      9.00   </span><span>     1     3      0.33      2.56   </span><span>     3     1      3.00      135.00   </span></span>


Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

<span> 3.4 </span>   Polynomial Long Division
Dividing : <span> <span>3w3 + 7w2 - 4w + 3</span> 
                              ("Dividend")
</span> By         :   <span> w + 3    ("Divisor")
</span>

<span><span>dividend <span> 3w3 </span>+<span> 7w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* 3w2</span> </span> <span> 3w3 </span>+<span> 9w2 </span>    </span><span>remainder  -<span> 2w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* -2w1</span> </span>  -<span> 2w2 </span>- 6w   </span><span>remainder      2w + 3 </span><span>- divisor<span> <span>* 2w0</span> </span>      2w + 6 </span><span>remainder      - 3 </span></span>

Quotient : <span> <span>3w2 - 2w + 2</span> 
</span> Remainder : <span> -3 
</span>

Final result :<span> 3w3 + 7w2 - 4w + 3 over w + 3 </span>

You might be interested in
1+1 = what is it the number<br>​
anzhelika [568]
The answer is 2 if this is right can i please have brainlyest
4 0
3 years ago
Read 2 more answers
Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.​
Alexeev081 [22]

Answer:

pumpkin because it got the most sold

7 0
3 years ago
Any help would be great
nadya68 [22]

Answer:

15

Step-by-step explanation:

38=10+13+c

c=38-10-13=15

Hope this helps!

8 0
3 years ago
Water is frozen at what degree
Jet001 [13]
Water can freeze at 32 degrees f 
3 0
3 years ago
Read 2 more answers
Jaden buys a raffle ticket. Each ticket has a 1% chance of being drawn. How likely is it that Jaden's ticket will be drawn? It d
Reika [66]
When Jaden bought the raffle ticket, he has a 1% chance of winning, which means that even if the chance is small, it's still there. 

Your answer would be

It likely won't be drawn. 
3 0
3 years ago
Other questions:
  • Y varies directly as x and y = 88 when x = 16. Determine the value of x when y = 77.
    12·1 answer
  • Aaron is three times as old as his son. In ten years, Aaron will be twice as old s his son. How old is aaron now
    14·1 answer
  • 4:5 12:? 32:40 ?:55 ?:95<br> The answer in blanks
    8·2 answers
  • Z÷6+x+x-5;use x=1 and z=6
    9·1 answer
  • What’s is 2.4827 nearest hundredth of an ounce
    13·2 answers
  • Use fundamental identities to simplify the expression below and then determine which of the
    15·1 answer
  • Coach Withrite can bench press 325 lbs. How many kg can he bench?
    10·1 answer
  • 15
    13·1 answer
  • A basketball hoop is purchased for use outside. It is on a moveable
    14·1 answer
  • If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!