What is the quotient of (x3+3x2-4x-12)/(x2+5x+6)

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Question:

What is the quotient of (x3+3x2-4x-12)/(x2+5x+6)

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Your answer will be x-2. Hope I helped! 

Answer:Quotient is x - 2.Step-by-step explanation:Given: Dividend = x³ + 3x² - 4x - 12            Divisor = x² + 5x + 6To find: Quotient of the division.First factor we get while dividing given polynomial = x as x × x² gives highest degree term of dividend.After this step we get -2x² - 10x - 12 as remainder.Now next factor is -2 becuase -2 × x² gives -2x²Doing this step we get 0 as remainder. Long Division is attached in pic.after Division, we getQuotient = x - 2and Remainder = 0 .Therefore, Quotient is x - 2.

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