A-LevelMathematicsAlgebra9709/22 · Feb/Mar 2020 · Q26 Marks
Find the quotient when 4x³ + 17x² + 9x is divided by x² + 5x + 6, and show that the remainder is 18.
- (a)Find the quotient when 4x³ + 17x² + 9x is divided by x² + 5x + 6, and show that the remainder is 18.[3]
- (b)Hence solve the equation 4x³ + 17x² + 9x − 18 = 0.[3]
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2020). The mark or mark type is shown in brackets.
- (a) Carry out division as far as 4x+k
- (a) Obtain quotient 4x-3
- (a) Confirm remainder is 18 AG necessary detail needed
- (b) State or imply equation is (4x-3)(x²+5x+6) = 0 Following their quotient from part (a)
- (b) Attempt solution of cubic equation to find three real roots
- (b) Obtain -3, -2, 3/4
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