A-LevelMathematicsAlgebra9709/12 · May/June 2023 · Q43 Marks
Solve the equation 8x⁶ + 215x³ – 27 = 0.
- Solve the equation 8x⁶ + 215x³ – 27 = 0.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- [M1] [8x⁶ + 215x³ – 27 = 0] leading to (8x³−1)(x³ +27)[= 0] OR -215±√(215²-4.8. – 27)/(2.8) or -215±√47089/2.8 OE If a substitution is used then the correct coefficients must be retained. Condone substitution of x = x³.
- [A1] 1/8, -27 Both correct values seen.
- [A1] 1/2 or 0.5, -3 SC: if M0 scored SCB1 is available for sight of 1/8 and -27 OE SC: if M0SCB1 scored then SCB1 is available for the correct answers and no others. Do not ISW if answers given as a range.
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