Questions: Add. 4 x^2 - 5 x + (3 x^2 + 3 x) The answer is □ (Simplify your answer.)

Transcript text: Add. \[ \begin{array}{r} 4 x^{2}-5 x \\ +\left(3 x^{2}+3 x\right) \\ \hline \end{array} \] The answer is $\square$ (Simplify your answer.)

Solution

Solution Steps

To add the given polynomials, combine like terms. This involves adding the coefficients of the $x^2$ terms together and the coefficients of the $x$ terms together.

Step 1: Combine Like Terms

To add the polynomials $4x^2 - 5x$ and $3x^2 + 3x$, we first identify and combine the coefficients of like terms.

The $x^2$ terms are: \[ 4 + 3 = 7 \]

The $x$ terms are: \[ -5 + 3 = -2 \]

Step 2: Construct the Simplified Polynomial

After combining the like terms, we can express the resulting polynomial as: \[ 7x^2 - 2x \]