Question

factorise by synthetic division: x^3-7x+6​

Answer 1

Answer:

Let p(x)=x

3

−7x+6

From figure, we have p(1)=0

Thus, (x−1) is a factor of p(x)

The other factor is x

2

+x−6

=(x+3)(x−2)

Therefore, x

3

−7x+6=(x−1)(x+3)(x−2)