Question

2x³+9x²+a=(mx-3)(x+3)²

Answer 1

(mx-3)(x+3)²=(mx-3)(x²+6x+9)=mx³+6mx²+9mx-3x²-18x-27=
=mx³+x²(6m-3)+x(9m-18)-27
mx³=2x³⇒m=2
x²(6m-3)=9x²⇒6m-3=9⇒6m=12⇒m=2
x(9m-18)=0⇒9m-18=0⇒9m=18⇒m=2
a=-27
Ответ m=2  a=-27