Question

Factorise x2-5x-24 please answer

Answer 1

X^2-8x+3x-24
X(x-8)+3(x-8)
(X-8)(x+3)

Answer 2

Answer:

$\bigstar{\bold{The\:zeros\:are\:8\:and-3}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• p(x) = x² - 5x - 24

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• The zeros of the polynomial

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ x² - 5x - 24 =0

→ By splitting the middle term method,

  x² -8x + 3x -24 =0

→ Taking the common factors out,

   x(x - 8) + 3(x - 8) = 0

   (x - 8) (x + 3) = 0

→ Either x - 8=0

            x = 8

→ Or x + 3 = 0

       x = -3

$\boxed{\bold{Zeros\:are\:8\:and\:-3}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ The zeros of a polynomial can be found out by

• Factorization method
• Splitting the middle term
• Completing the square method