Question

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

Answer 1

`(4u^3+6u^2+7)+(6u^3-2u+7)=color(blue)(10u^3+6u^2-2u+14)`

Explanation:

`(4u^3+6u^2+7)+(6u^3-2u+7)`

Add the two polynomials by combining like terms.

`4u^3+6u^3+6u^2-2u+7+7=`

`10u^3+6u^2-2u+14`

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