What are the solutions to the equation x^4+10x^3+35x^2+50x+24=0 ?

The solutions to the equation x^4+10x^3+35x^2+50x+24=0 are x=-1,x=-2,x=-3,x=-4

Find the zeros of x^4+10x^3+35x^2+50x+24=0

The zeros of x^4+10x^3+35x^2+50x+24=0 are x=-1,x=-2,x=-3,x=-4

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x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24 = 0

x = - 1, x = - 2, x = - 3, x = - 4

Solution steps

x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24 = 0

Factor

x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24 : (x + 1) (x + 2) (x + 3) (x + 4)

(x + 1) (x + 2) (x + 3) (x + 4) = 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 + 4 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x + 2 = 0 : x = - 2

Solve

x + 3 = 0 : x = - 3

Solve

x + 4 = 0 : x = - 4

The solutions are

x = - 1, x = - 2, x = - 3, x = - 4

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

2 (x + 1)^{3} - 4 = 12

x^{4} + 4 x^{3} + x + 7 = 9 x + 7

5 x^{5} + x = 10

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

What are the solutions to the equation x^4+10x^3+35x^2+50x+24=0 ?
The solutions to the equation x^4+10x^3+35x^2+50x+24=0 are x=-1,x=-2,x=-3,x=-4
Find the zeros of x^4+10x^3+35x^2+50x+24=0
The zeros of x^4+10x^3+35x^2+50x+24=0 are x=-1,x=-2,x=-3,x=-4