Question

unit: exponents and polynomials progress. the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. simplify: 11y² + 12y − 6y² − 8y + 5y⁰ options: 9y² + 5; 5y² + 4y + 5; 5y² + 4y + 1; 5y² + 9y

Explanation:

Step1: Simplify \( y^0 \)

Recall that any non - zero number to the power of 0 is 1, so \( 5y^0=5\times1 = 5\).
Now, group like terms in the expression \( 11y^{2}+12y - 6y^{2}-8y + 5y^{0}\):
For the \( y^{2}\) terms: \(11y^{2}-6y^{2}=(11 - 6)y^{2}=5y^{2}\)
For the \( y\) terms: \(12y-8y=(12 - 8)y = 4y\)
For the constant term: \(5y^{0}=5\)

Step2: Combine the simplified terms

Combine the results from the previous step: \(5y^{2}+4y + 5\)

Answer:

\(5y^{2}+4y + 5\) (corresponding to the option with this expression)