Question

please send the answer step by step by step​

Answer 1

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