What are the solutions to the equation x^3+x^2-10x+8=0 ?

The solutions to the equation x^3+x^2-10x+8=0 are x=1,x=2,x=-4

Find the zeros of x^3+x^2-10x+8=0

The zeros of x^3+x^2-10x+8=0 are x=1,x=2,x=-4

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x^{3} + x^{2} - 10 x + 8 = 0

x = 1, x = 2, x = - 4

Solution steps

x^{3} + x^{2} - 10 x + 8 = 0

Factor

x^{3} + x^{2} - 10 x + 8 : (x - 1) (x - 2) (x + 4)

(x - 1) (x - 2) (x + 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 2 = 0 or x + 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 2 = 0 : x = 2

Solve

x + 4 = 0 : x = - 4

The solutions are

x = 1, x = 2, x = - 4

x^{3} = 15

k^{3} - 4 k^{2} + k + 6 = 0

x^{3} - 10 x^{2} + 31 x - 30 = 0

x^{4} - 4 x^{2} + 4 = 0

9 x^{6} = 324 x^{4}

What are the solutions to the equation x^3+x^2-10x+8=0 ?
The solutions to the equation x^3+x^2-10x+8=0 are x=1,x=2,x=-4
Find the zeros of x^3+x^2-10x+8=0
The zeros of x^3+x^2-10x+8=0 are x=1,x=2,x=-4