Answer:
Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)
Step-by-step explanation:
Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor. The coefficients of the polynomial p(x) are {2 -5 -4 0 9}.
Setting up synthetic division:
3 / 2 -5 -4 0 9
6 3 -3 -9
-------------------------------
2 1 -1 -3 0
Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.
