Question

Find all the zeroes of the polynomial function

$f(x)=x^3 -5x^2+6x -30.$ If you use synthetic division, show all three lines of numbers.

Answer 1

Answer:

(x -5)(x²  + 6)

Step-by-step explanation:

f(x) = x³ - 5x² + 6x  - 30

Synthetic division:

          5          1     -5      6     -30

                      0      5      0      30

                      1       0      6       0

(x - 5) is  a factor

f(x) = x³ - 5x² + 6x  - 30 = (x -5)(x²  + 6)