Answer:
Option d is correct.
[tex]3x^5+7x^2-9x^4[/tex]
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.
[tex]x^3+2x^2-8x+16[/tex]
This is a polynomial of degree 3 with 4 number of terms.
b.
[tex]x^2+4[/tex]
⇒2nd degree polynomial with 2 terms
c.
[tex]-x^4-5x^2+1[/tex]
⇒4th degree polynomial with 3 terms.
d.
[tex]3x^5+7x^2-9x^4[/tex]
⇒5th degree polynomial with number of 3 terms.
Therefore, a polynomial which is a quintic trinomial is, [tex]3x^5+7x^2-9x^4[/tex]
The polynomial [tex]\rm 3x^5 + 7x^2 - 9x^4[/tex] is a 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 [tex]\rm 3x^5 + 7x^2 - 9x^4[/tex].
Learn more about quintic trinomial here:
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