Question

Use synthetic division to divide f(x) by x-c then write f(x) in the form f(x) = (x - c)q(x) +r.

f(x) = x3 - 15x2 - 5x + 8; -3
f(x) =

Answer 1

f(x) = (x +3)(x^2 -18x +49) -139

Explanation:

The synthetic division tableau is attached. The coefficients of the quotient are ...

1, -18, 49

and the remainder is -139.

So, in the desired form, f(x) can be written as ...

f(x) = (x +3)(x^2 -18x +49) -139