P(x)=−x^3 + x^2 + 5x + 3
P(x)=−(x^3 - x^2 - 5x - 3)
Factors of the constant term include: 1, -1, 3, -3
Test for x= 1, -1, 3, -3
P(1)=−1^3 + 1^2 + 5(1) + 3
P(1)=8
Since P(1) is not 0, it is not a zero.
P(-1)= -(-1)^3 + (-1)^2 +5(-1) + 3
P(-1)= 0
Since P(1)=0, x=1 is a zero.
Now you just...