Question

If ax^2+2a^2x+b^3 is exactly divisible by x+a,then prove that a=b or a^2+ab+b+ab+b^2=0

Answer 1

Answer:

I hope it would help you

Answer 2

Step-by-step explanation:

Since ax

2

+2a

2

x+b

3

is divisible by x+a, f(−a)=0.

∴ a(−a)

2

+2a

2

×−a+b

3

=0.

∴ −a

3

+b

3

=0.

∴ (b−a)(b

2

+ab+a

2

)=0.

∴b=a or b

2

+ab+a

2

=0.