SOLUTION: (5x^2+25x+16) \divided by (x+4) quotient and remainder

Algebra.Com
Question 1064787: (5x^2+25x+16) \divided by (x+4)
quotient and remainder
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


Start with this:

              
x+4)5x²+25x+16

x goes into 5x² 5x times because  simplifies to 5x
Put 5x on top above the line:

         5x   
x+4)5x²+25x+16
   
Multiply the 5x by the x on the far left, get 5x², 
write it under the other 5x²

         5x   
x+4)5x²+25x+16
    5x²

Multiply the 5x on top by the +4, get +20x, 
write it under the +25x

         5x   
x+4)5x²+25x+16
    5x²+20x

Draw a line at the bottom

         5x   
x+4)5x²+25x+16
    5x²+20x

Subtract (5x²+25x)-(5x²+20x) = 5x²+25x-5x²-20x = 5x, 
write it below the line under the +20x

         5x   
x+4)5x²+25x+16
    5x²+20x
         5x

Bring down the +16

         5x   
x+4)5x²+25x+16
    5x²+20x
         5x+16

The x at the far left goes into 5x, 5 times because
 simplifies to +5. Put 5 on top above the line:

         5x+5 
x+4)5x²+25x+16
    5x²+20x
         5x+16

Multiply the +5 on top by the x at the far left, get 5x, 
write it under the 5x at the bottom

         5x+5 
x+4)5x²+25x+16
    5x²+20x
         5x+16
         5x

Multiply the +5 on top by the +4, get +20, write it under 
the +16 at the bottom

         5x+5 
x+4)5x²+25x+16
    5x²+20x
         5x+16
         5x+20

Draw a line at the bottom:

         5x+5 
x+4)5x²+25x+16
    5x²+20x
         5x+16
         5x+20


Subtract (5x+16)-(5x+20) = 5x+16-5x-20 = -4, 
write it below the line under the +20

         5x+5 
x+4)5x²+25x+16
    5x²+20x
         5x+16
         5x+20
            -4

The 5x+5 is the quotient and -4 is the remainder.

Edwin
RELATED QUESTIONS

Find the quotient and the remainder when 3x^4 - 5x^3 + 7x^2 -6x - 8 is divided by (x +... (answered by stanbon)
Find the quotient and remainder when x^2-5x+9 is divided by... (answered by vleith)
Given f(x)= 3x^4 - 12x^2 + 5x + 14 and g(x)= x+2; Find the quotient and remainder when... (answered by stanbon)
Find the quotient and remainder for (x^4-2x^2+3) divided by... (answered by RAY100)
Use synthetic division to find the quotient and remainder if the first polynomial is... (answered by lwsshak3)
(use long division) Find the quotient and remainder when: x^4-5x^3+9x+2 is divided by... (answered by josgarithmetic)
Find the quotient and remainder of f(x)=x^3-4x^2+5x=5 divided by... (answered by pradhyumna.kumar@gmail.com)
Use long division to find the quotient and remainder when f(x)=x^4+5x^3+8x^2+3x−4 (answered by MathLover1)
use synthetic division to determine the quotient and remainder.2x^3-5x^2-4x+6 divided by... (answered by Gogonati)