Question

factorise x cube minus 3 x square - 10 X + 24

Answer 1

Answer:

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

Step-by-step explanation:

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

To find : Factorise the given expression?

Solution :

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

Factor the given expression using root rational test

One of the root is 3,

$(x-3)(x^2+6x+8)$

Now, solving quadratic by middle term split

$(x-3)(x^2+4x+2x+8)$

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

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

Therefore, Factories form of the given expression is

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

Answer 2

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