Question

Arrange the steps from start to finish to factor this expression using the grouping method x^2-5x-24 drag the tiles to the correct boxes not all tiles will be used step by step

Answer 1

(x - 8)(x + 3)

Explanation:

x² - 5x - 24

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

The factors are - 8 and + 3 , since

- 8 × + 3 = - 24 and - 8 + 3 = - 5

Use these factors to split the x- term

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

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

= (x - 8)(x + 3) ← in factored form