What is factor x^3+6x^2+11x+6 ?

The solution to factor x^3+6x^2+11x+6 is (x+1)(x+2)(x+3)

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factor x^3+6x^2+11x+6

factor

x^{3} + 6 x^{2} + 11 x + 6

(x + 1) (x + 2) (x + 3)

Solution steps

x^{3} + 6 x^{2} + 11 x + 6

Use the rational root theorem

= (x + 1) \frac{x ^{3} + 6 x ^{2} + 11 x + 6}{x + 1}

\frac{x ^{3} + 6 x ^{2} + 11 x + 6}{x + 1} = x^{2} + 5 x + 6

= (x + 1) (x^{2} + 5 x + 6)

Factor

x^{2} + 5 x + 6 : (x + 2) (x + 3)

= (x + 1) (x + 2) (x + 3)

- 2 + 1

(x + 2)^{2} = 4 x^{2}

4 x^{2} - 3 x - 7

x^{3} - 4 x^{2} - 19 x - 14

6 n^{2} + n - 15

What is factor x^3+6x^2+11x+6 ?
The solution to factor x^3+6x^2+11x+6 is (x+1)(x+2)(x+3)