Question

Factors of x cube-3x square-10x+24 is _________​

Answer 1

Answer:

Step-by-step explanation:

p(x) = x³ - 3x² - 10x + 24

Let x = 2

p(x) = 8 - 12 - 20 + 24

= 8 - 32 + 24

= 8 - 8

= 0

As p(x) = 0 , x - 2 is a factor

(x³ - 3x² - 10x + 24) / (x -2)

= x² - x - 12

= x² - 4x + 3x -12

= x(x-4) + 3(x-4)

= (x - 4)(x + 3)

Therefore , factors of (x³ - 3x² - 10x + 24) are as follows :

(x - 4) , (x + 3) and (x - 2).

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Answer 2

Answer:

(x^2-2)(x-3)(5x+2)

Step-by-step explanation:

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

x^2(x-3)-2(5x+2)

(x^2-2)(x-3)(5x+2)

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