G Greta New member Joined Feb 6, 2011 Messages 6 Feb 13, 2011 #1 Can I use synthetic division to solve this or do I have to use long division? ( 4 x[sup:280lbqti]4[/sup:280lbqti] - 17 x[sup:280lbqti]2[/sup:280lbqti] + 9x - 18) / (2x[sup:280lbqti]2[/sup:280lbqti] - 2) If I can use synthetic division, is k=2?
Can I use synthetic division to solve this or do I have to use long division? ( 4 x[sup:280lbqti]4[/sup:280lbqti] - 17 x[sup:280lbqti]2[/sup:280lbqti] + 9x - 18) / (2x[sup:280lbqti]2[/sup:280lbqti] - 2) If I can use synthetic division, is k=2?
S soroban Elite Member Joined Jan 28, 2005 Messages 5,584 Feb 13, 2011 #2 Hello, Greta! Can I use synthetic division to solve this or do I have to use long division? . . \(\displaystyle \dfrac{4x^4 - 17x^2 + 9x - 18}{2x^2-2}\) Click to expand... Long division is safer . . . but it is still tricky. \(\displaystyle \begin{array}{cccccccccccc} &&&&&& 2x^2 &&& - & \frac{13}{2} \\ && -- & -- & -- & -- & -- & -- & -- & -- & -- \\ 2x^2-2 & | & 4x^4 &&& - & 17x^2 & + & 9x & - & 18 \\ && 4x^4 &&& - & 4x^2 \\ && -- & -- & -- & -- & -- \\ &&&&& - & 13x^2 & + & 9x & - & 18 \\ &&&&& - & 13x^2 &&& + & 13 \\ &&&&& -- & -- & -- & -- & -- & -- \\ &&&&&&&& 9x & - & 31 \end{array}\)
Hello, Greta! Can I use synthetic division to solve this or do I have to use long division? . . \(\displaystyle \dfrac{4x^4 - 17x^2 + 9x - 18}{2x^2-2}\) Click to expand... Long division is safer . . . but it is still tricky. \(\displaystyle \begin{array}{cccccccccccc} &&&&&& 2x^2 &&& - & \frac{13}{2} \\ && -- & -- & -- & -- & -- & -- & -- & -- & -- \\ 2x^2-2 & | & 4x^4 &&& - & 17x^2 & + & 9x & - & 18 \\ && 4x^4 &&& - & 4x^2 \\ && -- & -- & -- & -- & -- \\ &&&&& - & 13x^2 & + & 9x & - & 18 \\ &&&&& - & 13x^2 &&& + & 13 \\ &&&&& -- & -- & -- & -- & -- & -- \\ &&&&&&&& 9x & - & 31 \end{array}\)
