Answer:
The polynomial form of the expression is: 25·X² + 2·X + 2.
Step-by-step explanation:
The expression that can be formed using the provided data is:
[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]
Simplify the expression to get a result in polynomial form as follows:
[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]
[tex]=9X^{2}+4X-3+16X^{2}-2X+5\\\\=(9+16)X^{2}+(4-2)X+(5-3)\\\\=25X^{2}+2X+2[/tex]
Thus, the polynomial form of the expression is: 25·X² + 2·X + 2.