3. Divide each using long division and determine if the denominator is a factorof the numerator:3221432254.1xxxx−+−−a.b.32254.3xxxx−+−+c.
4.The Remainder TheoremIf a number cis substituted for xin a polynomial f (x), then the result f (c) is the remainder that would be obtained by dividing f (x) by x−c. That is, if f (x) = (x−c)• Q(x) + R, then f (c) = R.Synthetic division is a “collapsed”version of long division; only the coefficients of the terms are written.
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5. Divide using synthetic division:a.b.()543246250(2)xxxxx−++++−()32275(3)+−+xxx
6. Use synthetic division to determine if 4 is a factor of f(x).f (x) = x3−6x2+ 11x−6