Question

factor of x^3-3x^2-10x+24​

Answer 1

Answer:

The factors are (x-2) , (x-4) , (x+3)

sol.

x cube -3x square - 10x + 24

solving by hit and trial method

=> factors of 24 are + - 1, plus minus 2 ,plus minus 3, plus minus 4 ,plus minus 6 ,,plus minus 8 ,plus minus 12 and plus minus 24

taking px = 2

=>PX equal to 2 cube- 3 (2 )- 10 (2 )+ 24

32-32= 0

so x = 2

=> x-2 = 0

so dividing px by by x-2 it comes

=>x square - x - 12

=>x square - 4 x + 3 x - 12

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

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

therefore( x -2 ), (x- 4), (x + 3) are the factors of p(x).

Also the solutions of the cubic polynomial are :

x = 2

x= 4

and x= -3

hope this helps you

please mark my answer as Brainliest answer

Thank you ❤️

Answer 2

Hope th PDF will be helpful for you Mate :>

5e9cfc36f33fa32a6ba0a09b873777bc.pdf