Plase Help ME Examine the following function. f(x)=2x^2−24x+54
What are the factors of the function?

2(x−3)(x+9)

2(x−6)(x−9)

2(x−3)(x−9)

(x−3)(x−9)

2(x - 3)(x - 9)

Step-by-step explanation:

Given

f(x) = 2x² - 24x + 54 ← factor out 2 from each term

     = 2(x² - 12x + 27) ← factor the quadratic

Consider the factors of the constant term (+ 27) which sum to give the coefficient of the x- term (- 12)

The factors are - 3 and - 9 , since

- 3 × - 9 = + 27 and - 3 - 9 = - 12 , thus

x² - 12x + 27 = (x - 3)(x - 9) and

f(x) = 2(x - 3)(x - 9) ← in factored form

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

11

step-by-step explanation:

32.50-7.50=25

225/25=11