SOLUTION: given the polynomial {{{ x^5+10x^2+29x+20 }}}. find the quotient and the remainder when divided by {{{ x^2-3 }}}.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: given the polynomial {{{ x^5+10x^2+29x+20 }}}. find the quotient and the remainder when divided by {{{ x^2-3 }}}.      Log On


   

Question 414239: given the polynomial +x%5E5%2B10x%5E2%2B29x%2B20+. find the quotient and the remainder when divided by +x%5E2-3+.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Long division:
       x^3 + 3x + 10
       ____________________________________
x^2-3 /x^5 + 0x^4 + 0x^3 + 10x^2 + 29x + 20  <-- make sure all powers are here
       x^5        - 3x^3                     <-- subtract
      -------------------
                    3x^3 + 10x^2 + 29x 
                    3x^3         -  9x       <-- line up like terms
                   -------------------
                          10x^2  + 38x + 20
                          10x^2        - 30
                         ------------------
                                   36x + 50  <-- remainder

So