How do I do synthetic division?

Question

2xcubed-xsquared+5x-12) divided by (2x-3)

Answer 1

2x^3-x^2+5x-12
step1. detach the coefficients of the dividend
2 -1 5 -12
step 2.equate the divisor to zero and solve for x
2x-3=0
2x=3
x=3/2
step 3
put 0 under 2 add multiply it by3/2,write the product under -1,add multiply by 3/2 ,write under 5,add and multiply by 3/2 and write under -12,add
2 -1 5 -12
0 3 3 12
-------------------------
2 2 8 0
the 0 in the end suggests that 2x-3 is a factor
the quotient is 2x^2+2x+8

unless you know something aboutit already this wont make complete sense as this is not exhaustive

Answer 2

You do it the same way you would do long division, except that x takes the place of 10. You need to divide 2x - 3 into 2x^3 - x^2 + 5x - 12. Look only at the first term of each. See that 2x times x^2 gives 2x^3, and write x^2 above the x^2 term in the larger polynomial. Now, do as you would do in long division. Multiply 2x - 3 by x^2 to get 2x^3 - 3x^2 and subtract it from the original polynomial, giving you 2x^2 + 5x - 12. 2x goes into 2x^2 an even x times. Multiply 2x - 3 by x to get 2x^2 - 3x. Subtract this from the previous remainder to get 8x - 12. 2x - 3 goes into this an even 4 times. So the result is x^2 + x + 4.

Answer 3

Synthetic Division is part of "Vedic Mathematics".

Answer 4

Hi. Quite a trick to master, but give this a shot. : http://www.answers.com/main/ntquery?s=synthetic%20division&gwp=16