What are the solutions to the equation x+3=x^3+10x^2+28x+21 ?

The solutions to the equation x+3=x^3+10x^2+28x+21 are x=-1,x=-3,x=-6

Find the zeros of x+3=x^3+10x^2+28x+21

The zeros of x+3=x^3+10x^2+28x+21 are x=-1,x=-3,x=-6

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x + 3 = x^{3} + 10 x^{2} + 28 x + 21

x = - 1, x = - 3, x = - 6

Solution steps

x + 3 = x^{3} + 10 x^{2} + 28 x + 21

Switch sides

x^{3} + 10 x^{2} + 28 x + 21 = x + 3

Move

3

to the left side

x^{3} + 10 x^{2} + 28 x + 18 = x

Move

x

to the left side

x^{3} + 10 x^{2} + 27 x + 18 = 0

Factor

x^{3} + 10 x^{2} + 27 x + 18 : (x + 1) (x + 3) (x + 6)

(x + 1) (x + 3) (x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x + 3 = 0 or x + 6 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x + 3 = 0 : x = - 3

Solve

x + 6 = 0 : x = - 6

The solutions are

x = - 1, x = - 3, x = - 6

x^{3} - 5 x^{2} + 8 x - 4

2 x^{4} + 9 x^{3} + 15 x^{2} + 11 x + 3 = 0

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

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

x^{3} - 5 x^{2} - 2 x + 6 = 0

What are the solutions to the equation x+3=x^3+10x^2+28x+21 ?
The solutions to the equation x+3=x^3+10x^2+28x+21 are x=-1,x=-3,x=-6
Find the zeros of x+3=x^3+10x^2+28x+21
The zeros of x+3=x^3+10x^2+28x+21 are x=-1,x=-3,x=-6