What is factor x^3+15x^2+71x+105 ?

The solution to factor x^3+15x^2+71x+105 is (x+3)(x+5)(x+7)

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factor x^3+15x^2+71x+105

factor

x^{3} + 15 x^{2} + 71 x + 105

(x + 3) (x + 5) (x + 7)

Solution steps

x^{3} + 15 x^{2} + 71 x + 105

Use the rational root theorem

= (x + 3) \frac{x ^{3} + 15 x ^{2} + 71 x + 105}{x + 3}

\frac{x ^{3} + 15 x ^{2} + 71 x + 105}{x + 3} = x^{2} + 12 x + 35

= (x + 3) (x^{2} + 12 x + 35)

Factor

x^{2} + 12 x + 35 : (x + 5) (x + 7)

= (x + 3) (x + 5) (x + 7)

∣ 3 x - 2 ∣ + 13 = 3

- 9 x^{2} - 12 x + 5

(\frac{x ^{4} z ^{2}}{4 y ^{5}}) (\frac{2 x ^{3} y ^{2}}{z ^{3}})^{2}

3 (x - 2) + 4 x > 8 x - 5

5^{7}

What is factor x^3+15x^2+71x+105 ?
The solution to factor x^3+15x^2+71x+105 is (x+3)(x+5)(x+7)