Factor the given polynomial completely. 6v²w - 48vw + 90w A) w(6v - 30)(6v - 18) B) 6w(v - 5)(v - 3) C) The polynomial is prime. D) 6w(v² - 8v + 15)

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The given polynomial can be factored by taking out common factors: 6v²w - 48vw + 90w = 6w( v² - 8v + 15) Now, we need to further factor v² - 8v + 15. We can find two numbers that multiply to 15 and add to -8 by trial and error. These are -3 and -5. So, we can write: v² - 8v + 15 = (v - 3)(v - 5) Putting it all together, we get: 6v²w - 48vw + 90w = 6w(v - 5)(v - 3)

Factor the Given Polynomial Completely