Multiple Choice
Add or subtract the polynomials.
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6. Exponents and Polynomials
Adding and Subtracting Polynomials
Multiple Choice
Add or subtract the polynomials.
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Verified step by step guidance1
First, write down the two polynomials you need to add: \((2y^{2} - 9y + 5)\) and \((6y + 4y^{2} - 7)\).
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 \(4y^{2} + 6y - 7\).
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 \(5 + (-7)\).
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.
Finally, write the simplified polynomial expression by combining all the summed terms into one expression.