Question

Complete the equation -6x^2 + 15x -6 = -3(2x - 1)(x + __)

Answer 1

it is -2
Because as we multiply +3 by -2 this will give the required constant i.e -6

Answer 2

Thanks, I appreciate the help.

Answer 3

You Welcome!!!

Answer 4

let we call our anonymous :) (a) :
\(-3(2x-1)(x+a)=(-6x+3)(x+a)=-6x^2-6ax+3x+3a\)
\(=-6x^2+(-6a+3)x+3a\)
We know that the coefficient of x is \(15\) so : \(-6a+3=15 <==>-6a=12 <==>a=-2\)
Well,
\(-6x^2 + 15x -6 = -3(2x - 1)(x +(-2))\)