Question

Find the remainder when f(x) is divided by (x - k)

f(x) = 3x3 - 4x2 - 3x + 14; k= 3

Answer 1

50

Answer 2

Evaluate the polynomial with x = -3
The result is 50

The Mathematica program yields the same result:
\[\text{PolynomialRemainder}\left[3 x^3-4 x^2-3x+14,x-3,x\right]= 50 \]