Let f(x) = x^2 - 2x + 2 and g(x) = x - 3. find f(x) times g(x)

x³ - 5x² + 8x - 6

Step-by-step explanation:

(x² - 2x + 2)(x - 3) ← product is required

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

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

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

= x³ - 5x² + 8x - 6 → (b)

a is the correct

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: