SOLUTION: Solve: (6x^1000 -17x^562 + 12x + 26)/( x + 1) I know I have to use a theorem or two, I am just confused on what theorem and how to use it.

Question 959108: Solve: (6x^1000 -17x^562 + 12x + 26)/( x + 1)
I know I have to use a theorem or two, I am just confused on what theorem and how to use it.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve: (6x^1000 -17x^562 + 12x + 26)/( x + 1)
-------
f(-1) = 6*1 - 17(1) + 12(-1) + 26 = 3
-----
That tells you the remainder after division is 3
------------------
It also tells you that x = -1 is not a root of the numerator.
-------------------------
Cheers,
Stan H.
-------------

RELATED QUESTIONS
How do I find x and use it to find the unknown sides of a right triangle? Here are the... (answered by jorel1380,stanbon,Theo)

Your help with this would be greatly appreciated. "List the possible rational zeros of (answered by rapaljer)

i am supposed to use the factor theorem to determine if (x-3) is a factor of... (answered by stanbon)

http://prntscr.com/aaisbq I know we have to use corollary 2 to theorem 7-3 and corollary (answered by solver91311)

I am studying for a college algebra test and have hit a wall with this question: Let... (answered by oscargut)

ACC Your Open Question Show me another � Use the remainder theorem to find the... (answered by jim_thompson5910)

Question: Use the Rational Zeros Theorem to find all the real zeros of the polynomial... (answered by scott8148,lwsshak3)

This is the problem I'm having trouble with: "Find the value of each variable and the... (answered by Theo)

I need help working through this problem. Mostly just B with Descartes law of signs. Is... (answered by Aldorozos)