What are the solutions to the equation x^4+7x^3+5x^2-31x-30=0 ?

The solutions to the equation x^4+7x^3+5x^2-31x-30=0 are x=-1,x=2,x=-3,x=-5

Find the zeros of x^4+7x^3+5x^2-31x-30=0

The zeros of x^4+7x^3+5x^2-31x-30=0 are x=-1,x=2,x=-3,x=-5

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x^{4} + 7 x^{3} + 5 x^{2} - 31 x - 30 = 0

x = - 1, x = 2, x = - 3, x = - 5

Solution steps

x^{4} + 7 x^{3} + 5 x^{2} - 31 x - 30 = 0

Factor

x^{4} + 7 x^{3} + 5 x^{2} - 31 x - 30 : (x + 1) (x - 2) (x + 3) (x + 5)

(x + 1) (x - 2) (x + 3) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 2 = 0 or x + 3 = 0 or x + 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 2 = 0 : x = 2

Solve

x + 3 = 0 : x = - 3

Solve

x + 5 = 0 : x = - 5

The solutions are

x = - 1, x = 2, x = - 3, x = - 5

- 4000 + 1500 x - 120 x^{2} + x^{3} = 0

x^{3} + 9 x^{2} = 4 x^{2} - x - 5

50 = 4 x (6 - x) (5 - x)

- 6 b^{3} + 7 = - 35

2 x^{4} - 3 x^{3} + 5 x = 70

What are the solutions to the equation x^4+7x^3+5x^2-31x-30=0 ?
The solutions to the equation x^4+7x^3+5x^2-31x-30=0 are x=-1,x=2,x=-3,x=-5
Find the zeros of x^4+7x^3+5x^2-31x-30=0
The zeros of x^4+7x^3+5x^2-31x-30=0 are x=-1,x=2,x=-3,x=-5