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January 13, 2010




Remainder Theorem
January 13, 2010




Remainder Theorem

If P(x) is a polynomial and you divide it by
a binomial x - a, then the remainder will be
P(a)

Let's see how it works!!



Find the remainder both by using synthetic division
and by using the remainder theorem
January 13, 2010




Find the remainder both by using synthetic division
and by using the remainder theorem
January 13, 2010




Find the remainder both by using synthetic division
and by using the remainder theorem
January 13, 2010




If we find the remainder to be 0,

what does it tell us about the
relationship between the binomial
divisor and the polynomial?????
January 13, 2010




If you find the remainder to be 0 when
dividing a polynomial by a binomial,

then the binomial is a factor of the
polynomial!!!!
January 13, 2010




Determine each value of k.
(a) When x 3 + kx2 + 2x - 3 is divided by x + 2, the remainder is 1.
January 13, 2010

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Jan. 8 Remainder Theorem

  • 2. January 13, 2010 Remainder Theorem If P(x) is a polynomial and you divide it by a binomial x - a, then the remainder will be P(a) Let's see how it works!! Find the remainder both by using synthetic division and by using the remainder theorem
  • 3. January 13, 2010 Find the remainder both by using synthetic division and by using the remainder theorem
  • 4. January 13, 2010 Find the remainder both by using synthetic division and by using the remainder theorem
  • 5. January 13, 2010 If we find the remainder to be 0, what does it tell us about the relationship between the binomial divisor and the polynomial?????
  • 6. January 13, 2010 If you find the remainder to be 0 when dividing a polynomial by a binomial, then the binomial is a factor of the polynomial!!!!
  • 7. January 13, 2010 Determine each value of k. (a) When x 3 + kx2 + 2x - 3 is divided by x + 2, the remainder is 1.