What are the solutions to the equation x^3-8x^2+5x+14=0 ?

The solutions to the equation x^3-8x^2+5x+14=0 are x=-1,x=2,x=7

Find the zeros of x^3-8x^2+5x+14=0

The zeros of x^3-8x^2+5x+14=0 are x=-1,x=2,x=7

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x^{3} - 8 x^{2} + 5 x + 14 = 0

x = - 1, x = 2, x = 7

Solution steps

x^{3} - 8 x^{2} + 5 x + 14 = 0

Factor

x^{3} - 8 x^{2} + 5 x + 14 : (x + 1) (x - 2) (x - 7)

(x + 1) (x - 2) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 2 = 0 or x - 7 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 2 = 0 : x = 2

Solve

x - 7 = 0 : x = 7

The solutions are

x = - 1, x = 2, x = 7

2 x^{4} - 2 = 0

x^{4}

x^{6} + 3 x^{2} = 0

- x^{4} + 1 = 0

x^{4} + 2 x^{3} + 22 x^{2} + 50 x - 75 = 0

What are the solutions to the equation x^3-8x^2+5x+14=0 ?
The solutions to the equation x^3-8x^2+5x+14=0 are x=-1,x=2,x=7
Find the zeros of x^3-8x^2+5x+14=0
The zeros of x^3-8x^2+5x+14=0 are x=-1,x=2,x=7