Question

X to the power of 3 - 7x + 6 factorise please whole step by step​

Answer 1

`(x + 3)(x - 2)(x - 1)`

Explanation:

`{x}^(3) - 7x + 6`

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

`(x - 1)`

is a root.

We can divide the top equation by the root (x-1). Our new equation is

`( {x}^(2) + x - 6)`

Now we can factor this completely

`(x + 3)(x - 2)`

So this equation in factored form is

`(x + 3)(x - 2)(x - 1)`