Answer:
[tex]3{x}^{2} + x + 4[/tex]
Step-by-step explanation:
Assuming the polynomials are
[tex]f(x) = 2 {x}^{2} + 3x - 5[/tex]
and
[tex]g(x) = 5 {x}^{2} + 4x - 1[/tex]
When f(x) is subtracted from g(x), we get;
[tex]g(x) - f(x) = 5 {x}^{2} - 2 {x}^{2} + 4x - 3x - 1 - - 5 [/tex]
We perform the subtracttion to get:
[tex]g(x) - f(x) = 3{x}^{2} + x + 4[/tex]
Therefore the correct answer is
[tex]3{x}^{2} + x + 4[/tex]
