Question

TRUE OR FALSE QUESTION

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

Is the statement below true or false?
p(x) can have at most 3 linear factors.

Answer 1

That's false. p(x) can have any number of linear factors (one or more).

p(x) = x(x+1)(x+2)(x+3)

has p(-3)=0 and four linear factors.