Question

(03.01) Which of the following is a factor of x2 − 6x − 27? (1 point) Select one: a. x + 3 b. x + 9 c. x − 1 d. None of the above

Answer 1

Answer:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\pink{\bigstar}$ The factor of given expression is $\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Given:-

✯ x² - 6x - 27

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Solution:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Splitting the middle term:-

➪ x² - 9x + 3x - 27

➪ x(x - 9) + 3(x - 9)

★ (x -9) (x +3)

Therefore, the factors of the given expression are (x - 9) and (x +3).

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence, Option A. i.e (x + 3) is the correct choice.