Question

Subtract 5y^2-6y-115y

2

−6y−115, y, squared, minus, 6, y, minus, 11 from 6y^2+2y+56y

2

+2y+56, y, squared, plus, 2, y, plus, 5.

Your answer should be a polynomial in standard form.

Answer 1

Given:

We need to subtract the polynomial
`5y^2-6y-11` from
`6y^2+2y+5`

We need to subtract the two polynomials and write the answer in standard form.

Subtraction:

Let us subtract the polynomial
`5y^2-6y-11` from
`6y^2+2y+5`

Thus, we have;

`6y^2+2y+5-(5y^2-6y-11)`

Removing the parenthesis, we get;

`6y^2+2y+5-5y^2+6y+11`

Adding the like terms, we have;

`y^2+8y+16`

Thus, the value of the two polynomials after subtraction is
`y^2+8y+16`

Therefore, the polynomial in standard form after subtraction is
`y^2+8y+16`