O-LevelAdditional MathematicsFactors of polynomials4037/12 · May/June 2010 · Q25 Marks
The expression 6x³ + ax² − (a + 1)x + b has a remainder of 15 when divided by x + 2 and a remainder of 24 when divided by x + 1. Show that a = 8 and find the value of b.
- (a)The expression 6x³ + ax² − (a + 1)x + b has a remainder of 15 when divided by x + 2 and a remainder of 24 when divided by x + 1. Show that a = 8 and find the value of b.[5]
Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- M1 for substitution of x = −2 or −1, or verification
- A1 for each correct (allow unsimplified)
- A1
- M1 for attempt to solve
- A1 for a = 8, b = 13
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