What is factor x^4+6x^3+6x^2+6x+5 ?

The solution to factor x^4+6x^3+6x^2+6x+5 is (x+1)(x+5)(x^2+1)

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factor x^4+6x^3+6x^2+6x+5

factor

x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 5

(x + 1) (x + 5) (x^{2} + 1)

Solution steps

x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 5

Use the rational root theorem

= (x + 1) \frac{x ^{4} + 6 x ^{3} + 6 x ^{2} + 6 x + 5}{x + 1}

\frac{x ^{4} + 6 x ^{3} + 6 x ^{2} + 6 x + 5}{x + 1} = x^{3} + 5 x^{2} + x + 5

= (x + 1) (x^{3} + 5 x^{2} + x + 5)

Factor

x^{3} + 5 x^{2} + x + 5 : (x + 5) (x^{2} + 1)

= (x + 1) (x + 5) (x^{2} + 1)

5 c^{2} + 5 c^{1}

(\frac{x + 1}{x})^{2}

sin^{2} (x) - 1

9 x^{2} + 6 x y + y^{2}

[\frac{3}{2 \cdot x + 1}]^{3}

What is factor x^4+6x^3+6x^2+6x+5 ?
The solution to factor x^4+6x^3+6x^2+6x+5 is (x+1)(x+5)(x^2+1)