O-LevelAdditional MathematicsFactors of polynomials4037/11 · May/June 2024 · Q26 Marks
2 DO NOT USE A CALCULATOR IN THIS QUESTION. The polynomial p is such that p(x) = 6x³ - 35x² +34x+45.
- (a)Find p(x) in the form (2x-5)q(x)+r, where q(x) is a polynomial and r is a constant.[3]
- (b)Hence write the expression p(x)-5 as a product of linear factors.[2]
- (c)Hence write down the solutions of the equation p(x) = 5.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [3] M1 for a valid attempt to obtain the quotient by algebraic long division, synthetic division, factorising (2x – 5) or by forming an identity
- [3] A1 for each (q(x)=3x²-10x-8, r=5)
- [2] M1 For a correct attempt to factorise
- [2] A1 Must see p(x) -5 as a product of linear factors
- [1] B1 FT on their 3 terms quadratic q(x)
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →