Question

How can I do this using

Answer 1

Answer:

See below.

Step-by-step explanation:

Part 1.

            x  +  12                   <---------- Quotient.

           ------------------

x - 4  ( x^2 + 8x + 16

          x^2-  4x

         ------------

                   12x + 16

                   12x - 48

                   ----------

                           64  <--------- Remainder.

Part 2

f(4) =  (4)^2 +8(4) + 16 =  16 + 32 + 16

= 64  Which is the remainder we found in the long division.

Part 3.

As you see in Parts 1 and 2, the Remainder Theorem tells you what the remainder is without doing the long division. If the remainder is 0  this means that the binomial you is a factor of the polynomial.