Question

factorise x^3-5x^2-2x+24 using synthetic division​

Answer 1

Step-by-step explanation:

Let P(x)=x

3

−5x

2

−2x+24

We know P(−2)=0

Thus, x+2 is a factor

The other factor is x

2

−7x+12

=x

2

+4x+3x+12

=(x−3)(x−4)

Thus, x

3

−5x

2

−2x+24=(x+2)(x−3)(x−4)

hope it helps you