SOLUTION: It is true that the factor Theorem states A.) All Polynomial functions are factorable if x=k B.) A Polynomial is factorable when {{{ x }}} <> k C.) If (x-k) is a factor then f

Algebra ->  Test -> SOLUTION: It is true that the factor Theorem states A.) All Polynomial functions are factorable if x=k B.) A Polynomial is factorable when {{{ x }}} <> k C.) If (x-k) is a factor then f      Log On


   



Question 1053756: It is true that the factor Theorem states
A.) All Polynomial functions are factorable if x=k
B.) A Polynomial is factorable when +x+ <> k
C.) If (x-k) is a factor then f(k) is equal to +0+
D.) If (x+k) is a factor then f(k) is equal to +0+

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
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The Remainder Theorem says: C).

Theorem (the remainder theorem)

   1. The remainder of division the polynomial  f%28x%29  by the binomial  x-a  is equal to the value  f%28a%29  of the polynomial. 

   2. The binomial  x-a  divides the polynomial  f%28x%29  if and only if the value of  a  is the root of the polynomial  f%28x%29,  i.e.  f%28a%29+=+0.

   3. The binomial  x-a  factors the polynomial  f%28x%29  if and only if the value of  a  is the root of the polynomial  f%28x%29,  i.e.  f%28a%29+=+0.

See the lesson
    - Divisibility of polynomial f(x) by binomial x-a
in this site.