please send the answer step by step by step
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Answer:
(b)
Step-by-step explanation:
Using remainder theory:
p(✗ )=✗³+3✗²+5✗+6
g(✗)=✗+2
g(✗)=0
⇒✗+2=0
⇒✗ =-2
Again,
P(-2)=(-2)³+3×(-2)²+5×(-2)+6
⇒-8+12-10+16
⇒-18+18
⇒0
Therefore,✗ +2 is a factor of ✗³+3✗²+5✗+6
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