Question

x^3+x^2+x+1 factorise

Answer 1

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Answer:

See the entire solution process below:

Explanation:

First, group the two terms on the left and the two terms on the right as:
(x3+x2)+(x+1)

Now, factor out an x2 from the term on the left to give:

((x2×x)+(x2×1))+(x+1)

x2(x+1)+(x+1)

(x+1) can also be written as 1(x+1) giving:

x2(x+1)+1(x+1)

We can now factor out an (x+1) from each term giving:

(x+1)(x2+1)

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Answer 2

HOLA :)

x³ + x² + x + 1 = 0

(x³+x²) + (x+1) = 0

x² (x+1) + 1 (x+1) = 0

(x+1) (x²+1) = 0

You should stop here if you only want real root, but if you also want the imaginary ones, you may continue.

°₋° wish it helps °₋°