Answer:
(x + 3)
Step-by-step explanation:
NOTE: first we need to understand this :
(x + a) is factor of the polynomial only if P(-a) = 0
and
(x - a) is factor of the polynomial only if P(a) = 0
- P(-3) = 2×(-3)³ - 7×(-3)² - 10×(-3) + 24
= -63
then (x + 3) is not a factor
- now, we can prove that the others are factors, for instance (x + 2)
P(-2) = 2×(-2)³ - 7×(-2)² - 10×(-2) + 24
= 0
then (x + 2) is a factor.
:)
