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Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9? y = 2x3 + x2 + 3x +5 y =9 y = 2x3 + x2 y = 3x + 14 y = 2x3 + 4x2 – x + 5 y = –3x2 + 4x + 9 From least to greatest, what are the roots of the polynomial equation?

Respuesta :

Answer:

The answer is actually (-4, -0.5, 1) in order from least to greatest.

Step-by-step explanation:

MrRoyal

A system of equation is a collection of more than one equation

  • The system of equations to determine the roots of [tex]2x^3 + 4x^2 - x + 5 = -3x^2 + 4x + 9[/tex] are [tex]y = 2x^3 + 4x^2 - x + 5[/tex] and [tex]y= -3x^2 + 4x + 9[/tex]
  • The roots of the polynomial equation are -0.5 and 1

The equation is given as:

[tex]2x^3 + 4x^2 - x + 5 = -3x^2 + 4x + 9[/tex]

Split the equation to a system of equations:

[tex]y = 2x^3 + 4x^2 - x + 5[/tex]

[tex]y= -3x^2 + 4x + 9[/tex]

So, the system of equations to determine the roots of [tex]2x^3 + 4x^2 - x + 5 = -3x^2 + 4x + 9[/tex] are [tex]y = 2x^3 + 4x^2 - x + 5[/tex] and [tex]y= -3x^2 + 4x + 9[/tex]

See attachment for the graphs of [tex]y = 2x^3 + 4x^2 - x + 5[/tex]

[tex]y= -3x^2 + 4x + 9[/tex]

The graphs of both functions intersect at x = -0.5, and x = 1

Hence, the roots of the polynomial equation are -0.5 and 1

Read more about polynomials at:

https://brainly.com/question/2833285

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