Question

Given the polynomial in standard form: (-5y + 3y^2) - (y + 1 + 2y^2) + (-5 - 4y + 10y^2), can you simplify it to standard form?

Answer 1

The simplified form of the polynomial is 5y^2 - 8y - 10.

Step-by-step explanation:

To simplify the given polynomial in standard form, we combine like terms by adding or subtracting the coefficients of the same degree of y.

(-5y + 3y^2) - (y + 1 + 2y^2) + (-5 - 4y + 10y^2)

Combine like terms: -5y - y - 5 - 4y + 3y^2 - 2y^2 + 10y^2 + 1 = 5y^2 - 10 - 8y.

So the simplified form of the polynomial in standard form is 5y^2 - 8y - 10.