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I’m confused someone explain please

I’m confused someone explain please-example-1

1 Answer

3 votes

Answer:

3(x - 12)(x + 2)

Explanation:

Given

3x² - 30x - 72 ← factor out 3 from each term

= 3(x² - 10x - 24) ← factor the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2 , since

- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus

x² - 10x - 24 = (x - 12)(x + 2) and

3x² - 30x - 72 = 3(x - 12)(x + 2)

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