# What is the standard form of a polynomial (x^2 + x + 2) + (3x^2 - 2x + 10)?

Nov 14, 2017

See a solution process below:

#### Explanation:

First, remove all of the terms from parenthesis:

${x}^{2} + x + 2 + 3 {x}^{2} - 2 x + 10$

Next, group like terms in descending order of the power of their exponents:

${x}^{2} + 3 {x}^{2} + x - 2 x + 2 + 10$

Now, combine like terms:

$1 {x}^{2} + 3 {x}^{2} + 1 x - 2 x + 2 + 10$

$\left(1 + 3\right) {x}^{2} + \left(1 - 2\right) x + \left(2 + 10\right)$

$4 {x}^{2} + \left(- 1\right) x + 12$

$4 {x}^{2} - 1 x + 12$