Question

Factorize the following polynomia
(x - 5)' - (5x - 25) - 24​

Answer 1

Answer:

= x-5 - 5x + 25 -24

= x- 5x -5 +25 -24

= - 4x -4

Answer 2

Answer:

(x-13)(x-2)

Step-by-step explanation:

(x−5)

2

−(5x−25)−24

=(x−5)

2

−5(x−5)−24

Let x−5=z

∴(x−5)

2

−5(x−5)−24

=z

2

−5z−24

=z

2

−8z+3z−24

=z(z−8)+3(z−8)

=(z−8)(z+3)

=(x−5−8)(x−5+3) (Repalce z=x−5)

=(x−13)(x−2)