Question

Add a term to the given polynomial to make it a 7th degree polynomial: 14^5 − 6^4+ 19^2 + 23x − 17

Answer 1

To make the given polynomial a 7th degree polynomial, you need to add a term with x raised to the power of 6 (x⁶).

Step-by-step explanation:

To make the given polynomial a 7th degree polynomial, we need to add a term with an x raised to the power of 7.

Since the highest power of x in the given polynomial is 1 (23x), we need to add a term with x raised to the power of 6.

This can be done by adding any term of the form ax⁶, where a is a constant.

For example, we can add 2x⁶ to the given polynomial. The resulting polynomial will then be:

14⁵ − 6⁴+ 19² + 23x − 17 + 2x⁶

This is now a 7th degree polynomial.