Question

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

Answer 1

Answer:

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

Step-by-step 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

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