Question

factorise this







answer with explanation

${x}^{ 3} - 7x + 6$
​

Answer 1

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)