Given:
We need to subtract the polynomial [tex]5y^2-6y-11[/tex] from [tex]6y^2+2y+5[/tex]
We need to subtract the two polynomials and write the answer in standard form.
Subtraction:
Let us subtract the polynomial [tex]5y^2-6y-11[/tex] from [tex]6y^2+2y+5[/tex]
Thus, we have;
[tex]6y^2+2y+5-(5y^2-6y-11)[/tex]
Removing the parenthesis, we get;
[tex]6y^2+2y+5-5y^2+6y+11[/tex]
Adding the like terms, we have;
[tex]y^2+8y+16[/tex]
Thus, the value of the two polynomials after subtraction is [tex]y^2+8y+16[/tex]
Therefore, the polynomial in standard form after subtraction is [tex]y^2+8y+16[/tex]