F (x) = x3 - 2x + 6

g (x) = 2x3 + 3x2 - 4x + 2

Find (f - g) (x).

- x³ - 3x² + 2x + 4

Step-by-step explanation:

(f - g) (x) = f (x) - g (x)

f (x) - g (x)

= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute by - 1

= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms

= - x³ - 3x² + 2x + 4 ← in standard form

-x^3-3x^2+2x+4

Step-by-step explanation:

Just calculate each coefficient of the polynomial separately.

x^3-2x+6 - (2x^3+3x^2-4x+2) = (1-2) x^3 + (0-3) x^2 + (-2 - (-4)) x + (6-2) = - x^3-3x^2+2x+4.