What is factor x^4+x^3+x^2+2x+1 ?

The solution to factor x^4+x^3+x^2+2x+1 is (x+1)(x^3+x+1)

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factor x^4+x^3+x^2+2x+1

factor

x^{4} + x^{3} + x^{2} + 2 x + 1

(x + 1) (x^{3} + x + 1)

Solution steps

x^{4} + x^{3} + x^{2} + 2 x + 1

Use the rational root theorem

= (x + 1) \frac{x ^{4} + x ^{3} + x ^{2} + 2 x + 1}{x + 1}

\frac{x ^{4} + x ^{3} + x ^{2} + 2 x + 1}{x + 1} = x^{3} + x + 1

= (x + 1) (x^{3} + x + 1)

4 x \cdot 3 x

5^{l o g_{5} (12)}

(1.2)^{3}

- 3 (x - 1)

lo g_{8} (x^{4})

What is factor x^4+x^3+x^2+2x+1 ?
The solution to factor x^4+x^3+x^2+2x+1 is (x+1)(x^3+x+1)