Question

if X + 2 and X + 3 arefactor of a x cube + a x + b find the value of a and b ​

Answer 1

 ∴x=1 ⇒2       ∴x=2  ⇒3

substitution eqn2 in eqn1 we get,

(1)³-a(1)+b=0

1-a+b=0

a=1+b  ⇒4 

substituting eqn3 in 1 we get 

(2)³-a(3)+b=0

8-3a+b=0 ⇒5

substituting eqn4 in eqn5 we get,

8-3(1+b)+b=0

8-3-3b+b=0

2b=5

b=5/2

a= 1+b= 1+5/2

a=7/2