SOLUTION: x^3+19x^2+14x+218divided by x+4= simplify with remainder

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Question 1206106: x^3+19x^2+14x+218divided by x+4=
simplify with remainder
Found 3 solutions by josgarithmetic, math_tutor2020, Edwin McCravy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
This is a repetitious kind of question happening here. The method has been show through examples several times.

Just through synthetic division,

-4   |   1    19    14    218
     |
     |       -4    -60    184  
     _________________________________
        1    15    -46    402

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Check out this similar problem.
https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1206090.html


There are many great resources found on the internet that will explain how polynomial long division works.
Here is one such page
https://www.mathsisfun.com/algebra/polynomials-division-long.html
Feel free to explore other resources.

Here is a calculator that will provide a step by step look for your particular problem
https://www.emathhelp.net/en/calculators/algebra-1/polynomial-long-division-calculator/

Here is a calculator for synthetic division
https://www.emathhelp.net/en/calculators/algebra-1/synthetic-division-calculator/
This calculator also explains things step by step.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
In case your class has gotten to long division but 
hasn't gotten to synthetic division:

x3+19x2+14x+218 divided by x+4.

              x2 + 15x -  46
x + 4) x3 + 19x2 + 14x + 218
       x3 +  4x2
            15x2 + 14x
            15x2 + 60x
                  -46x + 218
                  -46x - 184
                         402

Edwin