Question

If (x + 4) is a factor of the polynomial x3 x2 14x + 24, find the other factors.

Answer 1

Heyy mate ❤✌❤

Here's your Answer..

Answer 2

Answer:

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

Step-by-step explanation:

Given:

x + 4 is factor of polynomial , $p(x)=x^3-x^2-14x+24$

To find: Other factors.

We divide the p(x) by x + 4

Quotient we get after division = x² - 5x + 6

Division is in pic.

So,

x³ - x² - 14x + 24 = ( x + 4 )(  x² - 5x + 6 )

                           = ( x + 4 )(  x² - 2x - 3x + 6 )

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

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

Therefore, ( x - 3 ) and ( x - 2 ) are Other factors.