If (x+3) isfactor of pwx)=2 + 12x² a×+ 6a then find​

x+a is factor of x

4

−a

2

x

2

+3x−6a

Let p(x)=x

4

−a

2

x

2

+3x−6a

we know that if x−α is a factor of p(x) then p(α)=0

So p(−a)=0

(−a)

4

−a

2

(−a)

2

+3(−a)−a=0

a

4

−a

4

−3a−a=0

−4a=0

a=0