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Factor completely x³ - 7x² + 2x + 40 given x = -2 is a root.

User Fastkowy
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1 Answer

3 votes

Answer:

(x +2)(x -4)(x -5)

Explanation:

When you divide the cubic by (x +2), the factor that has -2 as a root, you get a quadratic with roots 4 and 5. Thus the factors are ...

(x +2)(x -4)(x -5)

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In the attachment, we have done the division using a graphing calculator. You can also do it by polynomial long division or by synthetic division. The resulting quadratic is ...

x^2 -9x +20 = (x -4)(x -5) . . . . . factor the quadratic

Factor completely x³ - 7x² + 2x + 40 given x = -2 is a root.-example-1
Factor completely x³ - 7x² + 2x + 40 given x = -2 is a root.-example-2
User Patrick Meinecke
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