Question 1201744
<font color=black size=3>
Answer: 21x^4 + 28x^3 + 35x^2
Other answers are possible.


Explanation:


Pick any trinomial where the coefficients are relatively prime to one another
This means the GCF of the coefficients is 1.
Let's say we go for 3x^2+4x+5


Multiply that with 7x^2
7x^2(3x^2+4x+5)
7x^2*3x^2 + 7x^2*4x + 7x^2*5 ... distributive property
21x^4 + 28x^3 + 35x^2
This leads to an expression where we are guaranteed to have 7x^2 as the GCF of each term of the trinomial.
</font>