Complete question is;
Select all polynomial expressions that are equivalent to 6x⁴ + 4x³ – 7x² + 5x + 8.
A. 16x^(10)
B. 6x^(5) + 4x⁴ – 7x³ + 5x² + 8x
C. 6x⁴ + 4x³ - 7x² + 5x + 8
D. 8 + 5x + 7x² - 4x³ + 6x⁴
E. 8 + 5x – 7x² + 4x³ + 6x⁴
Answer:
Options C & E
C. 6x⁴ + 4x³ - 7x² + 5x + 8
E. 8 + 5x – 7x² + 4x³ + 6x⁴
Step-by-step explanation:
To find the polynomial expressions that are equivalent to 6x⁴ + 4x³ – 7x² + 5x + 8 simply means that both polynomials must have identical signs, identical number of terms and identical terms.
Now, by inspection of tall the options, we can see that options C & E are equivalent to the initially given polynomial.
For option C: 6x⁴ + 4x³ - 7x² + 5x + 8
This expression is the exact same thing as what was given in the question.
For option E: 8 + 5x – 7x² + 4x³ + 6x⁴
Rearranging this gives;
6x⁴ + 4x³ - 7x² + 5x + 8
Again this is exactly the same expression given to us in the question.
