Question

divide
x3-5x2-2x-24 by x-2​

Answer 1

Answer:

Step-by-step explanation:

Let p ( x ) = x³ - 5x² - 2x - 24

If " ( x - 2 ) " is a factor of p ( x ),

Then ( x - 2 ) = 0 ⇒ x = 2.

On substituting " x = 2 " in p ( x )

p ( 2 ) = ( 2 )³ - 5 ( 2 )² - 2 ( 2 ) - 24

= 8 - 5 ( 4 ) - 4 - 24

= 8 - 20 - 4 - 24

= 8 - 48

= - 40 is the answer.

Answer 2

Answer:

Let P(x)=x3−5x2−2x+24

We know P(−2)=0

Thus, x+2 is a factor

The other factor is x2−7x+12

=x2+4x+3x+12

=(x−3)(x−4)

Thus, x3−5x2−2x+24=(x+2)(x−3)(x−4)