Answer:
Options (C) and (E)
Step-by-step explanation:
Given polynomial is,
6x⁴+ 4x³- 7x² + 5x + 8
So all the polynomials which are (look alike) similar in terms of degree and number of terms to the given expression will be equivalent.
Option (A).
[tex]16x^{10}[/tex]
It's a monomial. So not the answer.
Option (B).
6x⁵ + 4x⁴ - 7x³ + 5x² + 8
This polynomial is a 5th degree polynomial, will not be equivalent to the given polynomial expression with 4 degree.
Option (C).
6x⁴ + 4x³ - 7x² + 5x + 8
All the terms and signs between the terms of this expression are similar to the given polynomial expression,
Expression will be equivalent to the given polynomial expression.
Option (D)
8 + 5x + 7x² - 4x³ + 6x⁴
= 6x⁴- 4x³ + 7x² + 5x + 8
Both are similar in number of terms and degree but signs between the terms are different.
Therefore, both the expressions are will not be equivalent.
Option (E).
8 + 5x - 7x² + 4x³ + 6x⁴
= 6x⁴ + 4x³ - 7x² + 5x + 8
Since, both the polynomials are similar so they are equivalent.
