Add (3x4 − 2x3 + 1) + (12x4 + x2 − 11)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given: 

(3x^4 − 2x^3 + 1) + (12x^4 + x^2 − 11)

Add the two equations together.

Solution:

In order to add two equations, we must look for the similar variables, or the terms which have a common degree. When we say degree it means the exponent. In the equation, 3x and 12x have the same exponent or degree which is 4, therefore we can add them together, for other terms, that do not have any similar exponents, we will simply copy them, and for constants, we will add them together.

= (3x^4 − 2x^3 + 1) + (12x^4 + x^2 − 11)

= 15x^4 - 2x^3 + x^2 - 10

Final Answer: 15x^4 - 2x^3 + x^2 - 10