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What is the result when 3x3 + 20x2 – 11x – 28 is divided by x + 7?

User CarrKnight
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1 Answer

4 votes

Answer:

Explanation:

Let's perform this division using synthetic division. The coefficients of the given expression are {3, 20, -11, -28}, and the appropriate divisor is -7 (that comes from x + 7):

-7 / 3 20 -11 -28

-21 7 28

-------------------------------------

3 -1 -4 0

Since the remainder is 0, -7 is a root of the given expression, and the coefficients of the quotient are {3, -1, -4}. The quotient is therefore

3x^2 - x - 4

User Miguelina
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