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andre [41]
2 years ago
14

3x²-24x + 12 What’s the factor of

Mathematics
2 answers:
Tems11 [23]2 years ago
6 0

Answer:

<u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>

Step-by-step 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 :

  • <u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>
Lunna [17]2 years ago
5 0

<h2>ANSWER: </h2>

\large\blue{ ──────────────────────}

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) = <u>0</u>

\large\blue{ ──────────────────────}

keep learning <3

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