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Lelechka [254]
3 years ago
10

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

Mathematics
1 answer:
klemol [59]3 years ago
6 0

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)

___

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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Step-by-step explanation:

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12x^3-9x^2 factorised<br><br><br><br><br> How would you answer this?..
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Answer:

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

STEP

1

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Equation at the end of step 1

(12 • (x3)) - 32x2

STEP

2

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Equation at the end of step

2

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3

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STEP

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