Question

if x+4 is a factor of x3-x2-14x+24 find its other factors.

Answer 1

Answer:

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

Step-by-step explanation:

We are given that:

x + 4 is factor of polynomial x³ - x² - 14x + 24

To find: Other factors.

We first divide the given polynomial with given factor to get other factors.

Long division is done in pic.

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

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

Answer 2

Answer:

If (x+4) is a factor of P(x)=x³-x²-14x+24,find other factors

Step-by-step explanation:

If (x+4) is a factor of P(x)=x³-x²-14x+24,find other factorsIf (x+4) is a factor of P(x)=x³-x²-14x+24,find other factorsIf (x+4) is a factor of P(x)=x³-x²-14x+24,find other factors