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Factor completely x^2-3x-28

1 Answer

4 votes

Answer:

(x - 7)(x + 4)

Explanation:

Given

x² - 3x - 28

Consider the factors of the constant term ( - 28) which sum to give the coefficient of the x- term ( - 3)

The factors are - 7 and + 4, since

- 7 × 4 = - 28 and - 7 + 4 = - 3, hence

x² - 3x - 28 = (x - 7)(x + 4) ← in factored form

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