What are the solutions to the equation x^3+15x^2+71x+105=0 ?

The solutions to the equation x^3+15x^2+71x+105=0 are x=-3,x=-5,x=-7

Find the zeros of x^3+15x^2+71x+105=0

The zeros of x^3+15x^2+71x+105=0 are x=-3,x=-5,x=-7

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x^{3} + 15 x^{2} + 71 x + 105 = 0

x = - 3, x = - 5, x = - 7

Solution steps

x^{3} + 15 x^{2} + 71 x + 105 = 0

Factor

x^{3} + 15 x^{2} + 71 x + 105 : (x + 3) (x + 5) (x + 7)

(x + 3) (x + 5) (x + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 3 = 0 or x + 5 = 0 or x + 7 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x + 5 = 0 : x = - 5

Solve

x + 7 = 0 : x = - 7

The solutions are

x = - 3, x = - 5, x = - 7

x^{3} + x + 8 = 0

x^{4} + 30 x^{2} - 400 = 198 x^{2}

(1 + \frac{x}{4})^{4} - 1 = 0

5 x^{4} - 11 x^{2} - 4 x + 1 = 0

r^{4} - 5 r^{2} + 4 = 0

What are the solutions to the equation x^3+15x^2+71x+105=0 ?
The solutions to the equation x^3+15x^2+71x+105=0 are x=-3,x=-5,x=-7
Find the zeros of x^3+15x^2+71x+105=0
The zeros of x^3+15x^2+71x+105=0 are x=-3,x=-5,x=-7