What are the solutions to the equation 2x^4+9x^3+15x^2+11x+3=0 ?

The solutions to the equation 2x^4+9x^3+15x^2+11x+3=0 are x=-1,x=-3/2

Find the zeros of 2x^4+9x^3+15x^2+11x+3=0

The zeros of 2x^4+9x^3+15x^2+11x+3=0 are x=-1,x=-3/2

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

x = - 1, x = - \frac{3}{2}

Decimal

x = - 1, x = - 1.5

Solution steps

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

Factor

2 x^{4} + 9 x^{3} + 15 x^{2} + 11 x + 3 : (x + 1)^{3} (2 x + 3)

(x + 1)^{3} (2 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 1 = 0 : x = - 1

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

The solutions are

x = - 1, x = - \frac{3}{2}

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

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

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

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

x^{5} + 2 x^{4} + 2 x^{3} + 4 x^{2} + 11 x + 10 = 0

What are the solutions to the equation 2x^4+9x^3+15x^2+11x+3=0 ?
The solutions to the equation 2x^4+9x^3+15x^2+11x+3=0 are x=-1,x=-3/2
Find the zeros of 2x^4+9x^3+15x^2+11x+3=0
The zeros of 2x^4+9x^3+15x^2+11x+3=0 are x=-1,x=-3/2