Question

p(x) is a polynomial with integer coefficients and p(-3) = 0.

Which statements must be true? Choose all that apply.

a. x + 3 is a factor of the polynomial.
b. x - 3 is a factor of the polynomial.
c. -3 is the constant term of the polynomial.
d. p(x) can have at most 3 linear factors.

Answer 1

for example if \[(x+5)(x+3)=0\]the one solution is \(x=-3\)

Answer 2

the answer is A. because when you equate p(x) is (-3)
x+3=0
(-3)+3=0
0=0