SOLUTION: Can you please help me with these 2 problems. Kidly show the solution and answer. Divide using synthetic division: 1. ( 2x5 – 4x – 18x3 – 28x2 – 25x -15 ) ÷ ( 2x + 3 ) 2. ( 6

Can you please help me with these 2 problems. Kidly show the solution and
answer. Divide using synthetic division: 
1. ( 2x5 – 4x4 – 18x3 – 28x2 – 25x -15 ) ÷ ( 2x + 3 )
2. ( 6x4 – 4x3 – 2x2 + 27x + 7 ) ÷ ( 3x – 4 ) 
***these are problems on polynomials, the number right after the x are its
exponents...


Synthetic division only allows you to divide by binomials of the form
x ± b.  To divide by binomials of the form ax ± b you must factor out
a and get a(x ± ). You then divide by (x ± ) and then again by
a.


1. ( 2x5 – 4x4 – 18x3 – 28x2 – 25x -15 ) ÷ ( 2x + 3 )

So first factor 2 out of 2x + 3, getting 2(x + )

Now first, divide synthetically by the x + 


|  2  -4 -18  -28  -25  -13    
    |    -3      
    ------------------------------------------------------------   
     2   -7    

which gives you a quotient of 

     

Simplify the fraction on the right by multiplying top and bottom
by LCD = 48

     


Now you have to divide everything by 2, which is to multiply
every term by 

     
     
     

What a horrible problem your teacher gave you!  The other one looks just as
horrible.  Do it the same horrible way! 

Edwin