SOLUTION: {{{(t^3-19t +9)/(t-4)}}}
answer: {{{ matrix(1,3,t^2+4t-3, "",r=-3) }}}
need a full break down of how my text book got that answer can go as far as getting t^2 please help
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: {{{(t^3-19t +9)/(t-4)}}}
answer: {{{ matrix(1,3,t^2+4t-3, "",r=-3) }}}
need a full break down of how my text book got that answer can go as far as getting t^2 please help
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Question 174647:
answer:
need a full break down of how my text book got that answer can go as far as getting t^2 please help Found 2 solutions by stanbon, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! t^3-19t +9/t-4=
answer:t^2 + 4t-3 r-3
--------------
Use synthetic division:
4)....1....0....-19....9
.......1....4.....-3...|..-3
Quotient: x^2 + 4x - 3
Remainder: -3
===========================
Cheers,
Stan H.
By inserting the term 0t2 and using long division
or synthetic division.
Do you understand long division or synthetic division?
If not post again asking how we get the following:
t2 + 4t - 3
---------------------
t - 4 ) t3 - 0t2 - 19t + 9
t3 - 4t2
--------
4t2 - 19t
4t2 - 16t
---------
3t + 9
3t + 12
--------
-3
Answer: t2 + 4t - 3 r=-3
Or by synthetic division:
4 | 1 0 -19 9
| 4 16 -12
---------------
1 4 -3 -3
Answer: t2 + 4t - 3 r=-3
Or if you know to put the remainder over the dividend:
Answer: or
Edwin