Questions: 10.1 Adding and Subtracting Polynomials 1. (4x^2-2x+8)+(x^2+3x-2)

Transcript text: 10.1 Adding and Subtracting Polynomials 1. $\left(4 x^{2}-2 x+8\right)+\left(x^{2}+3 x-2\right)$

Solution

Step 1: Combine like terms

First, identify and group the like terms in the polynomials:

Step 2: Add the coefficients of like terms

Add the coefficients of the like terms:

Step 3: Write the simplified polynomial

Combine the results from Step 2 to write the simplified polynomial: \[5x^{2} + x + 6\]

$\boxed{5x^{2} + x + 6}$

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