What does it mean to list the possible integral roots of the polynomial?

Question

If this helps, the polynomial is:

f(x)=5x^3 +3x^2 -7x +18

Answer 1

Find the roots that are integers.
Test +/-18,+/-9,+/-6,+/-3,+/-2,+/-1 for possible roots.

Answer 2

You have your f(x) polynomial in a standard form. Knock
knock lists the possible integral roots for your particular polynomial. If A IS an integral root of your polynomial then f(A) does = 0, as raj states.

The integer roots of a polynomial must be a divisor of the
constant term. (That's what Knock knock listed.) Noone is saying that there is an integer root, just what set they must come from. Further, any rational root must come from the divisors of the constant term for a numerator, and the divisors of the leading term for the denominator.

Finally, FWIW your polynomial apparently has one neg root around x = -2, and 2 conjugate non-real roots.

Answer 3

to find all those integers which will reduce the poly to zero

Answer 4

u factorise first