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Chapter 4: Problem 53

Perform the operation. $$\begin{array}{r}3 x^{2}+4 x+5 \\\\+\quad 2 x^{2}-3 x+6\end{array}$$

Short Answer

Expert verified
Therefore, \(3x^{2} + 4x + 5 + 2x^{2} - 3x + 6\) simplifies to \(5x^{2} + x + 11\).

Step by step solution

01

Combine like terms

Starting with the polynomial terms, \(3x^{2}\) and \(2x^{2}\) can be added together to give \(5x^{2}\). Similarly, \(4x\) and \(-3x\) can be added to give \(x\). Lastly, the constant terms 5 and 6 add to 11.
02

Write down the result

Combine all terms back into one equation, you place each outcome from the first step into the same order the original equation was in.

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