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How do you factor (x² - 2x - 8)?

Aniket Singh , 7 Months ago
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Askiitians Tutor Team

To factor the expression \(x² - 2x - 8\), we need to find two numbers that multiply to -8 (the constant term) and add up to -2 (the coefficient of the x term).

Finding the Numbers

The numbers that meet these criteria are -4 and 2, since:

  • -4 × 2 = -8
  • -4 + 2 = -2

Writing the Factored Form

Using these numbers, we can express the quadratic as:

(x - 4)(x + 2)

Final Result

Thus, the factored form of \(x² - 2x - 8\) is:

(x - 4)(x + 2)

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Last Activity: 7 Months ago
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