# What is the standard form of a polynomial (4u^3 + 6u^2 + 7) + (6u^3 – 2u + 7)?

Apr 12, 2016

$\left(4 {u}^{3} + 6 {u}^{2} + 7\right) + \left(6 {u}^{3} - 2 u + 7\right) = \textcolor{b l u e}{10 {u}^{3} + 6 {u}^{2} - 2 u + 14}$

#### Explanation:

$\left(4 {u}^{3} + 6 {u}^{2} + 7\right) + \left(6 {u}^{3} - 2 u + 7\right)$

Add the two polynomials by combining like terms.

$4 {u}^{3} + 6 {u}^{3} + 6 {u}^{2} - 2 u + 7 + 7 =$

$10 {u}^{3} + 6 {u}^{2} - 2 u + 14$

The terms are arranged in order of exponents. This is a third order equation because the greatest exponent is $3$.