The difference for the given polynomial is [tex]{5x^2-2x+4}[/tex]
Explanation:
The given polynomial is [tex](8x^2+9)-(3x^2+2x+5)[/tex]
A polynomial is generally a sum or difference of terms or variables which are separated by addition and subtraction signs. There are "three types of polynomial": Monomial, binomial and trinomial.
The difference between is found as follows:
D = [tex](8x^2+9)-(3x^2+2x+5)[/tex]
Removing the brackets, we get,
D = [tex]8x^2+9-3x^2-2x-5[/tex]
D = [tex]5x^2+4-2x[/tex]
D = [tex]5x^2-2x+4[/tex]
Thus, the polynomial represents Option A as the difference.