Answer:
Option D) [tex]-2y(2y^4-3y^2-4y+1)[/tex] is correct
Therefore [tex]-4y^5+6y^3+8y^2-2y=-2y(2y^4-3y^2-4y+1)[/tex]
Step-by-step explanation:
Given polynomial is [tex]-4y^5+6y^3+8y^2-2y[/tex]
To factorise the given polynomial by taking out the common terms of the given polynomial :
- [tex]-4y^5+6y^3+8y^2-2y[/tex]
- [tex]=2y(-2y^4+3y^2+4y-1)[/tex] ( here 2y is GCF common term so taking outside the terms of the polynomial )
- [tex]=-2y(2y^4-3y^2-4y+1)[/tex] ( now taking (-) outside )
Therefore [tex]-4y^5+6y^3+8y^2-2y=-2y(2y^4-3y^2-4y+1)[/tex]
Option D) [tex]-2y(2y^4-3y^2-4y+1)[/tex] is correct
