Question

Arrange the steps from start to finish to factor this expression using the grouping method.

x2 − 5x − 24
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1. (x − 3)(x + 8)
2. (x2 + 3x) + (-8x − 24)
3. x2 + 3x − 8x − 24
4. (x + 3)(x − 8)
5. x2 − 3x + 8x − 24
6. x(x + 3) − 8(x + 3)
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Answer 1

Explanation:

Answer 2

(x + 3)(x - 8)

Explanation:

x² - 5x - 24

consider factors of constant term (- 24) which sum to give the coefficient of the x- term (- 5)

the factors are + 3 and - 8

use these factors to split the x- term

= x² + 3x - 8x - 24 ( factor the first/second and third/fourth terms )

= x(x + 3) - 8(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x - 8) ← in factored form