Question

what must be added to y cube minus y squared minus 3 Y - 22 get a square minus 5 Y + 6 ​

Answer 1

$\textsf{Let f(y)=}\mathsf{y^3-y^2-3y-22}$

$\textsf{Let g(y) be the required polynomial to be added to get}$$\mathsf{\;\;y^2-5y+6}$

$\textsf{As per given data,}$

$\mathsf{f(y)+g(y)=y^2-5y+6}$

$\implies\mathsf{y^3-y^2-3y-22+g(y)=y^2-5y+6}$

$\implies\mathsf{g(y)=y^2-5y+6-(y^3-y^2-3y-22)}$

$\implies\mathsf{g(y)=y^2-5y+6-y^3+y^2+3y+22}$

$\implies\boxed{\mathsf{g(y)=-y^3+2y^2-2y+28}}$

$\therefore\textsf{We must be add -y^3+2y^2-2y+28 }$