Use synthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polynomial equation. x³-5x²+2x+8 = 0; 2 A) {4, 1, 2} B) (-4, 1, 2} C) (4, -1, 2} D) (-4,-1, 2}

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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**Use synthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polynomial equation.**

\(x^3 - 5x^2 + 2x + 8 = 0; 2\)

Choices:
- A) \(\{4, 1, 2\}\)
- B) \(\{-4, 1, 2\}\)
- C) \(\{4, -1, 2\}\)
- D) \(\{-4, -1, 2\}\)
Transcribed Image Text:**Use synthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polynomial equation.** \(x^3 - 5x^2 + 2x + 8 = 0; 2\) Choices: - A) \(\{4, 1, 2\}\) - B) \(\{-4, 1, 2\}\) - C) \(\{4, -1, 2\}\) - D) \(\{-4, -1, 2\}\)
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