Question

if x+2 divides 2x³-5x²+4x+p without remainder then p is​

Answer 1

Answer:

p= 44

Step-by-step explanation:

Let f(x)= 2x³-5x²+4x+p

x+ 2= 0, x= -2

Given, x+2 is a factor of f(x),

⇒ f(-2)= 0

2(-2)³-5(-2)²+4(-2)+p= 0

2(-8)- 5(4)+ (-8)+ p= 0

(-16)- 20- 8+ p= 0

p= 16+ 20+ 8

p= 44