If f(x)= 3x^2-9x-20, find the value of f(5) using synthetic division. this means, what is the remainder
a. 10
b. 15
c. -7
d. 0

10

Step-by-step explanation:

Just plugging in!

So you could substitute the 5 into find the remainder of .

(exponents first since there are no grouping symbols)

(multiplication/division after exponents)

(addition/subtraction after multiplication/division)

Synthetic division (the requested route):

So when we do the above division using synthetic division we should get the same thing for the remainder as the above evaluation.

5 |  3       -9         -20

  |           15          30

   -----------------------------

     3        6           10

The remainder is 10, so f(5)=10.

Step-by-step explanation:

Step 1:  Solve f(5)

Synthetic Division

Substitution Method

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