Question

3x²-24x + 12


What’s the factor of

Answer 1

[x - (4 + 2√3)] and [x - (4 - 2√3)]

Explanation:

Given :

• 3x² - 24x + 12

Divide throughout by 3 to simplify :

• 1/3 x (3x² - 24x + 12)
• x² - 8x + 4

Using the Quadratic Formula :

• x = -b ± √b² - 4ac / 2a
• x = -(-8) ± √(-8)² - 4(1)(4) / 2(1)
• x = 8 ± √64 - 16 / 2
• x = 8 ± √48 / 2
• x = 8 ± 4√3 / 2
• x = 4 ± 2√3

Factors are :

• [x - (4 + 2√3)] and [x - (4 - 2√3)]

Answer 2

ANSWER:

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Simplifying:

• 3x2 + 24x + -12 = 0

Reorder the terms:

• -12 + 24x + 3x2 = 0

Solving:

• -12 + 24x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.

• 3(-4 + 8x + x2) = 0

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