Question

Factorize: x² - 9x + 18
1. (x - 9)(x - 2)
2. (x + 6)(x - 3)
3. (x + 3)(x - 6)
4. (x - 6)(x - 3)

Answer 1

Correct Answer - Option 4 : (x - 6)(x - 3)

Given:

x2 - 9x + 18

Calculation:

Here, x2 - 9x + 18

⇒ x2 - 6x - 3x + 18

⇒ x(x - 6) - 3(x - 6)

⇒ (x - 3)(x - 6)

∴ The factor of x2 - 9x + 18 is (x - 6) and (x - 3).