Question

If ax + 2ax + ² is divisible by
x+a, prove that asb or a² + ab to"
=0​

Answer 1

Answer:

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.