Question

7. Consider the functions below.

f(x) = 2x + 3x - 5
9(x) = 5x + 4x - 1
which of the following is the resulting polynomia
f(x) is subtracted from g(x)
a
-3r-*- 4
-3° +7x - 6
3r+*+ 4
3x² + 78-6

Answer 1

`3{x}^(2) + x + 4`

Explanation:

Assuming the polynomials are

`f(x) = 2 {x}^(2) + 3x - 5`

and

`g(x) = 5 {x}^(2) + 4x - 1`

When f(x) is subtracted from g(x), we get;

`g(x) - f(x) = 5 {x}^(2) - 2 {x}^(2) + 4x - 3x - 1 - - 5`

We perform the subtracttion to get:

`g(x) - f(x) = 3{x}^(2) + x + 4`

Therefore the correct answer is

`3{x}^(2) + x + 4`