Question

Fadorize : x3
- 5 x² -2x+24.​

Answer 1

=x3-5x2-2x+24

put x= -2

(-2)³-5(-2)2-2(-2)+24

-8-20+4+24=28-28 =0

thus (x+2) is a factor of x3-5x2-2x+24.

we have to find another two roots.

p(x)=x+2*g(x)

g(x)=p(x)/x+2

SEE ABOVE FIGURE. DIVISION.

=x2-7x+12=0 factorise.

=x2-4x-3x+12=0

=x(x-4)-3(x-4)=0

=(x-4)=0 (x-3)=0

HENCE x3-5x2-2x+24 = (x+2)(x-4)(x-3)

MARK AS BRAINLIEST.