Add or subtract the polynomials.
$(2y^2-9y+5)+(6y+4y^2-7)$

• A. $6y^2-3y+2$
• B. $6y^2-15y-2$
• C. $6y^2-3y+12$
• D. $6y^2-3y-2$

Answer: (D)

Verified step by step guidance

1. First, write down the two polynomials you need to add: \((2y^{2} - 9y + 5)\) and \((6y + 4y^{2} - 7)\).
2. Next, rearrange the terms in each polynomial so that like terms (terms with the same power of \(y\)) are aligned: \$2y^{2} - 9y + 5\( and \)4y^{2} + 6y - 7$.
3. Now, add the coefficients of the like terms separately: for \(y^{2}\) terms, add \$2y^{2} + 4y^{2}\(; for \)y\( terms, add \)-9y + 6y\(; and for the constant terms, add \)5 + (-7)$.
4. Combine the results from each group to form the new polynomial: the sum of the \(y^{2}\) terms, plus the sum of the \(y\) terms, plus the sum of the constants.
5. Finally, write the simplified polynomial expression by combining all the summed terms into one expression.