SOLUTION: Use the remainder theorem to find P(−3) for =P(x)+2x^3+6x^2+6 . Specifically, give the quotient and the remainder for the associated division and the value of P(−

Algebra.Com
Question 1094045: Use the remainder theorem to find
P(−3) for =P(x)+2x^3+6x^2+6
.
Specifically, give the quotient and the remainder for the associated division and the value of
P(−3)
.
Answer by josgarithmetic(39613)   (Show Source): You can put this solution on YOUR website!
-------------------------------------------------------------------------
Use the remainder theorem to find
P(−3) for =P(x)+2x^3+6x^2+6
.
Specifically, give the quotient and the remainder for the associated division and the value of
P(−3)
.
------------------------------------------------------------------------

This means, performing division or SYNTHETIC division to test as a root gives a remainder equal to P at x=-3. 


-3    |    2    6    0     6
      |
      |        -6    0    0
      |_______________________________
          2    0    0      6

Remainder is 6.
.
RELATED QUESTIONS

Use the remainder theorem to find P(-2) for P(x)= x^3+4x^2-4x-8. Specifically give the... (answered by josgarithmetic)
Use the remainder theorem to findvP(-2) for P(x)=2x^4+4x^3-5x^2+4. Specifically,... (answered by stanbon)
Use the remainder theorem to find P(-3) for P(x)=x^4+2x^3-x-4 Specifically, give the... (answered by stanbon)
Use synthetic division to find P(-1) for P(x) = 4 x 3 − 5x 2 + 6x – 8 What... (answered by stanbon)
Use synthetic division and the Remainder Theorem to find P(c). P(x) = 6x^4 − 7x^2... (answered by josgarithmetic)
please help w/ the following: Use the Remainder Theorem to find p(-3) if P(x)=... (answered by stanbon)
For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).... (answered by venugopalramana)
Use the Remainder Theorem to find P (-1/7) if... (answered by prateekagrawal)
Use synthetic division and the remainder theorem to find P(a) P(x)=x^3+5x^2-2x+7; a=4 (answered by josgarithmetic)