What are the solutions to the equation x^3+8x^2+19x+12=0 ?

The solutions to the equation x^3+8x^2+19x+12=0 are x=-1,x=-3,x=-4

Find the zeros of x^3+8x^2+19x+12=0

The zeros of x^3+8x^2+19x+12=0 are x=-1,x=-3,x=-4

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x^{3} + 8 x^{2} + 19 x + 12 = 0

x = - 1, x = - 3, x = - 4

Solution steps

x^{3} + 8 x^{2} + 19 x + 12 = 0

Factor

x^{3} + 8 x^{2} + 19 x + 12 : (x + 1) (x + 3) (x + 4)

(x + 1) (x + 3) (x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x + 3 = 0 or x + 4 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x + 3 = 0 : x = - 3

Solve

x + 4 = 0 : x = - 4

The solutions are

x = - 1, x = - 3, x = - 4

40000 = 15000 (1 + x)^{5}

x, x^{4} - 10 x^{2} + 29 = 8

(x^{2} - 4)^{2} = (x + 4)^{2} + 32

2 x^{3} + 7 x^{2} = 15 x

8 x^{3} - 4 x^{2} - 4 x + 1 = 0

What are the solutions to the equation x^3+8x^2+19x+12=0 ?
The solutions to the equation x^3+8x^2+19x+12=0 are x=-1,x=-3,x=-4
Find the zeros of x^3+8x^2+19x+12=0
The zeros of x^3+8x^2+19x+12=0 are x=-1,x=-3,x=-4