Question

For what
Value of k is the polynomial
P(x)=2x^3-kx^2+3x +10exactly divisible by(x+ 2)

Answer 1

(x+2) is a factor of p(x)
x=-2
Putting x=-2
p(-2)=2(-2)^3-k(-2)+3(-2)+10 =0
=>-16+2k-6+10 =0
=>2k-10 =0
=>2k =10
=>k=5