Question

add the following polynomials: (5x + 2) + (4x + 5)

Explanation:

Step1: Remove parentheses

To add the polynomials, we first remove the parentheses. So, \((5x + 2)+(4x + 5)\) becomes \(5x + 2 + 4x + 5\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(x\)-terms are \(5x\) and \(4x\), and the constant terms are \(2\) and \(5\). Combining the \(x\)-terms: \(5x+4x = 9x\). Combining the constant terms: \(2 + 5=7\). So, putting it together, we get \(9x + 7\).

Answer:

\(9x + 7\) (corresponding to the option with \(9x + 7\))