SOLUTION: true or false the last line of synthetic division for (2x^4 - 5x^3 + 7x^2 - 3x +1)/(x - 3) gives coefficients for the quotient of 2,1,8, and 21?

Algebra.Com
Question 914979: true or false
the last line of synthetic division for (2x^4 - 5x^3 + 7x^2 - 3x +1)/(x - 3) gives coefficients for the quotient of 2,1,8, and 21?

Found 2 solutions by ewatrrr, Edwin McCravy:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
my colleague is totally correct. TY for the catch

3 2 -5 7 -3 1
6 3 30 81
2 1 10 27 82
2x^3 + x^2 +10x + 27 + 82/(x-3)

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
The other tutor made a mistake.

We'll see what it should be.  But first of all you should not write 

2x^4 - 5x^3 + 7x^2 - 3x +1/ x - 3

because you must indicate with parentheses where every numerator 
and denominator begins and ends.  You use a "{" to show where they
begin and a ")" to show where they end.  IOW, you should have

(2x^4 - 5x^3 + 7x^2 - 3x +1)/(x - 3)

Without the parentheses the only things divided are the 1 and the x.
So in the future be sure to use parentheses to show where numerators
and denominators begin and end.


3 | 2 -5  7 -3  1
  |    6  3 30 81
    2  1 10 27 82

No, it's 2,1,10,27, and 82.  The answer to the division is 

Edwin

RELATED QUESTIONS

Can someone please help me with this problem? The last line of synthetic division for... (answered by jim_thompson5910,Edwin McCravy)
Using synthetic division, find the quotient of the following: 1. 3x^4-2x^3-x^2+4x+4 ÷ (answered by Edwin McCravy)
For f(x)=3x^4+7x^3-x^2+5x-4, use synthetic division to determine... (answered by stanbon)
“Synthetic Divison” Use synthetic division to find the quotient and remainder of the... (answered by MathLover1,josgarithmetic)
Use synthetic division to find the quotient and the remainder of... (answered by cigany29)
Find the quotient and remainder using synthetic or long division (5x^4+3x^3-12) /... (answered by josgarithmetic,MathTherapy)
show the long division and synthetic division of polynomial division... (answered by ikleyn)
1. What is the line parallel to y=6/7x+11/7 through point (0,2)? 2. What is the line... (answered by josgarithmetic)
Use synthetic division to find the quotient and remainder of the following:... (answered by Boreal)