Question

factorise:x cube +10x +24 solve the problem​

Answer 1

Step-by-step explanation:

x^3-3x^2-10x+24=(x-3)(x+4)(x+2)x

3

−3x

2

−10x+24=(x−3)(x+4)(x+2)

Step-by-step explanation:

Given : Expression x^3-3x^2-10x+24x

3

−3x

2

−10x+24

To find : Factorise the given expression?

Solution :

x^3-3x^2-10x+24x

3

−3x

2

−10x+24

Factor the given expression using root rational test

One of the root is 3,

(x-3)(x^2+6x+8)(x−3)(x

2

+6x+8)

Now, solving quadratic by middle term split

(x-3)(x^2+4x+2x+8)(x−3)(x

2

+4x+2x+8)

(x-3)(x(x+4)+2(x+4))(x−3)(x(x+4)+2(x+4))

(x-3)(x+4)(x+2)(x−3)(x+4)(x+2)

Therefore, Factories form of the given expression is

x^3-3x^2-10x+24=(x-3)(x+4)(x+2)x

3

−3x

2

−10x+24=(x−3)(x+4)(x+2)