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never [62]
3 years ago
11

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

Mathematics
1 answer:
Over [174]3 years ago
8 0

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)

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