Using long division, divide $2x^3 - 7x^2 + 2x + 3$ by $2x - 4$.[2] Solve \(2x^3 - 7x^2 + 2x + 3

Question

Using long division, divide $2x^3 - 7x^2 + 2x + 3$ by $2x - 4$.[2] Solve $2x^3 - 7x^2 + 2x + 3 = 0$.[4] Kun Ye claims that the solutions to the equation $2x^3 - 7x^2 + 2x + 3 = 0$ can be used to solve $3y^6 + 2y^4 - 7y^2 + 2 = 0$. Explain how he is correct.[2]

Accepted Answer

(a)$x^2-\frac{3x}{2}-2-\frac{5}{2x-4}$ (b)$x=-\frac{1}{2},1 $ or $3$

2025 DSS PRELIMS P2 Q8

2025 DSS PRELIMS P2 Q8