Q14. - Algebra 1

Question

Find each sum or difference.

$\left(x+\mathbf{5}\right)+\left(x^2-\mathbf{3}x+\mathbf{7}\right)$

Step-by-Step Solution

Answer

The sum of $\left(x+5\right)+\left(x^2-3x+7\right)$ is $x^2-\mathbf{2}x+\mathbf{12}$.

Step 1. Write steps to add polynomials.

Following are the steps to add polynomials.

 

1. Group like terms.

2. Combine like terms by using horizontal or vertical format. 

Step 2. Group like terms.

Group like terms in the given expression.

$x^2+\left(x-3x\right)+\left(5+7\right)$

Step 3. Combine like terms.

Combine like terms in expression in horizontal format.

$x^2-2x+12$ 

Therefore, the sum of $\left(x+5\right)+\left(x^2-3x+7\right)$ is $x^2-2x+12$.