Question

If x-2 is a factor of x3-x2-14x+24 find its other factors.

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

other factors are ( x - 3 ) and ( x - 2 ).

Step-by-step explanation:

we get given that :

x + 4 is factor of polynomial x^3 - x^2 - 14x + 24 .

To find : other factors.

we first divide the given polynomial with given factor .

Quotint we get after division = x^2 - 5x + 6 .

so,

x^3 - x^2 - 14x + 24 = ( x + 4 ) (x^2 - 5x + 6)

= ( x + 4 ) ( x^2 - 2x - 3x + 6 )

= ( x + 4 ) [( x ( x- 2 ) - 3( x -2)

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

Therefore ; other factor are ( x - 3 ) & ( x - 2 ).