Let f(x) = x2 − 2x + 2 and g(x) = x − 3. find f(x) ⋅ g(x).

x³ - 5x² + 8x - 6

Step-by-step explanation:

f(x) × g(x)

= (x² - 2x + 2)(x - 3)

Each term in the first factor is multiplied by each term in the second factor, that is

x(x² - 2x + 2) - 3(x² - 2x + 2) ← distribute both parenthesis

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

= x³ - 5x² + 8x - 6

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.

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5

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step-by-step explanation: