K kortness New member Joined Jan 23, 2008 Messages 6 Jan 23, 2008 #1 I dont understand how to use the synthetic method for solving polynomial functions. ~ex: (x^2-13x-48) / (x+3) please help.
I dont understand how to use the synthetic method for solving polynomial functions. ~ex: (x^2-13x-48) / (x+3) please help.
D Deleted member 4993 Guest Jan 23, 2008 #2 For a quick review, go to : http://www.purplemath.com/modules/synthdiv.htm
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,325 Jan 23, 2008 #3 You just have to look at the table until you see it. If x+3 is a factor, then x = -3 is a zero. Zero -3 Coeficients 1 -13 -48 You should get these numbers 1 1*(-3) = -3 -13 + (-3) = -13 - 3 = -16 -16*(-3) = 48 -48 + 48 = 0 And we see that \(\displaystyle \frac{x^{2}-13x-48}{x+3}\;=\;x-16\). It's all in the numbers.
You just have to look at the table until you see it. If x+3 is a factor, then x = -3 is a zero. Zero -3 Coeficients 1 -13 -48 You should get these numbers 1 1*(-3) = -3 -13 + (-3) = -13 - 3 = -16 -16*(-3) = 48 -48 + 48 = 0 And we see that \(\displaystyle \frac{x^{2}-13x-48}{x+3}\;=\;x-16\). It's all in the numbers.