# What is the standard form of a polynomial (2x^2 + 5x + 4) - (4x^2 - 3x + 2)?

Nov 7, 2017

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:

$2 {x}^{2} + 5 x + 4 - 4 {x}^{2} + 3 x - 2$

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

$2 {x}^{2} - 4 {x}^{2} + 5 x + 3 x + 4 - 2$

Now, combine like terms:

$\left(2 - 4\right) {x}^{2} + \left(5 + 3\right) x + \left(4 - 2\right)$

$- 2 {x}^{2} + 8 x + 2$