Question

Find the quotient and the remainder when 3x2 + 23x – 36 is divided by x + 9.

Answer 1

Answer:

Step-by-step explanation:

Note that the given polynomial has the coefficients 3, 23 and -36.  Using -9 as divisor in synthetic division, we get:

-9 /    3      23     -36

                 -27     36

       ------------------------

         3       -4         0

The first two digits of this result indicate that the other factor is 3x - 4.  The zero remainder tells us that -9 is a root of this quadratic, and verifies that (3x - 4) is a  factor.