Question

Check by using factor theorem whether y+1 a factor of the polynomial 2y³ +4x+ 6?​

Answer 1

Answer:

To check that 2y+1 is a multiple p(y) or not, it will be sufficient to check whether 2y+1 is a factor of p(y) or not.

For that,

2y+1=0 

⇒y=−21

Now, substitute y=−21 in the polynomial p(y),

p(−21)=4(−21)3+4(−21)2−(−21)−1

⇒p(−21)=4×(−81)+(4×41)+21−1

⇒p(−21)=−21+1+21−1

⇒p(−2