Question

What is the factor of

`{x}^(2) - 6x - 27`
​

Answer 1

9 is correct answer

Explanation:

`{x}^(2) - 6x - 27 \\ = {x}^(2) - 9x + 3x - 27 \\ = x(x - 9) + 3(x - 9) \\ = (x + 3)(x - 9)`

x=9

Answer 2

(x - 9)(x + 3)

Explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)