Polynomial Semester II Start Cube Roots

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Last updated 10:14 PM on 6/16/26
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11 Terms

1
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What is a cube root?

The number that multiplied by itself 3 times reaches the original number

2
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∛1

1

3
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∛8

2

4
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∛27

3

5
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∛64

4

6
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∛125

5

7
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∛216

6

8
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∛343

7

9
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Factoring perfect cubes

Finding the zeros of a. cubic function through factoring using shortcuts if both the A and C term are perfect cubes. 2 Types:

  • 𝐚³+𝐛³ (regular)

  • 𝐚³-𝐛³ (difference of perfect squares

Find a & b terms first by using the cube root or raising to the power of 1/3. *Factor out a GCF if not a perfect cube binomial.

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Factoring formula: 𝐚³+𝐛³ (regular)

𝐚³+𝐛³ ⇢ (𝐚+𝐛)(𝐚²-𝐚𝐛+𝐛²)

11
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Factoring formula: 𝐚³-𝐛³ (difference of perfect squares)

𝐚³-𝐛³ ⇢ (𝐚-𝐛)(𝐚²+𝐚𝐛+𝐛²)