Factor completely x³ - 7x² + 2x + 40 given x = -2 is a root.
1 answer:
Answer:
(x +2)(x -4)(x -5)
Step-by-step 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
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clearly the seconds cannot be a negative unit, so is not -3/2.
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