Answer:
x³- 5x² + 8x - 6.
Step-by-step explanation:
Given : f(x) = x2 − 2x + 2 and g(x) = x − 3.
To find : f(x) ⋅ g(x).
Solution : We have given
f(x) = x² − 2x + 2 and g(x) = x − 3.
We need to find the product
f(x) ⋅ g(x).
Plug the values of f(x) and g(x).
( x² − 2x + 2) ( x − 3).
Distribute x² over (x-3) and 2x over ( x − 3) and 2 over ( x − 3).
x²(x-3) - 2x ( x − 3)+ 2( x − 3).
x³-3x² -2x² + 6x + 2x - 6.
Combine like terms and solve
x³- 5x² + 8x - 6.
Therefore, x³- 5x² + 8x - 6.
