# What is the standard form of a polynomial (x^2-3x+5)+(x^2+2x-3)?

Jun 19, 2018

See a solution process below:

#### Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

${x}^{2} - 3 x + 5 + {x}^{2} + 2 x - 3$

Next, group like terms:

${x}^{2} + {x}^{2} - 3 x + 2 x + 5 - 3$

Now, combine like terms:

$1 {x}^{2} + 1 {x}^{2} - 3 x + 2 x + 5 - 3$

$\left(1 + 1\right) {x}^{2} + \left(- 3 + 2\right) x + \left(5 - 3\right)$

$2 {x}^{2} + \left(- 1\right) x + 2$

$2 {x}^{2} - 1 x + 2$

$2 {x}^{2} - x + 2$