Question

ditermine the value of 'p' :(3 power 3)power 4 =(3)power 2p=2

Answer 1

Step-by-step explanation:

Let p(x) = 2x

4

+3x

3

+2px

2

+3x+6

By factor theorem, p(x) will be exactly divisible by (x+2) if $$p ( -2) = 0.Now,p(-2) = 2( -2)^4 + 3( -2)^3 + 2p( -2)^2 + 3( -2) + 6= 32 - 24 + 8p - 6 + 6= 8 + 8p$$

Since, p(−2)=0

⇒8+8p=0

⇒8p=0

⇒8p=−8

⇒p=−1