Answer :
Final answer:
Among the given options, the trinomial of degree 9 is 3x^9 + 2x^8 + 5x^7. A trinomial is a polynomial with three terms and the degree of 9 indicates the highest power of the variable in the trinomial.
Explanation:
The question you're asking is: Which of the following is an example of a trinomial with degree 9?
A trinomial is a polynomial with three terms. The degree of a polynomial is the highest power of the variable in the polynomial. So, a trinomial of degree 9 should have three terms and the highest power of the variable should be 9.
Let's evaluate the options:
A) 3x^9 + 2x^8 + 5x^7 - This is a trinomial. The degree is 9, as the highest power of x is 9.
B) 4x^9 + 6x^8 + 2x^7 + 9x^6 - This is not a trinomial, as it has more than three terms.
C) 7x^9 + 2x^8 + 5x^7 + 3x^6 - This is not a trinomial for the same reason as B.
D) 2x^9 + 5x^8 + 3x^7 + 6x^6 + 4x^5 - Again, this is not a trinomial as it has more than three terms.
Therefore, the answer is A) 3x^9 + 2x^8 + 5x^7, which is a trinomial with a degree of 9.
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