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Answer:

Option d is correct.

\(3x^5+7x^2-9x^4\)

Step-by-step explanation:

Degree: Highest degree in the polynomial

Trinomial: A polynomial or equation that has 3 number of terms.

Quintic means a polynomial with degree 5.

a.

\(x^3+2x^2-8x+16\)

This is a polynomial of degree 3 with 4 number of terms.

b.

\(x^2+4\)

⇒2nd degree polynomial with 2 terms

c.

\(-x^4-5x^2+1\)

⇒4th degree polynomial with 3 terms.

d.

\(3x^5+7x^2-9x^4\)

⇒5th degree polynomial with number of 3 terms.

Therefore, a polynomial which is a quintic trinomial is, \(3x^5+7x^2-9x^4\)

The polynomial \(\rm 3x^5 + 7x^2 - 9x^4\) is a quintic trinomial.

What is quintic trinomial?

A quintic function is defined by a polynomial having highest degree five.

A trinomial is defined as a polynomial having three terms. Therefore a quintic trinomial refers to a polynomial having three terms with a highest power five.

Hence the correct option is \(\rm 3x^5 + 7x^2 - 9x^4\).

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