O-LevelAdditional MathematicsIndices and surds4037/11 · May/June 2017 · Q36 Marks
Simplify √x³y¹⁰ ÷ √x³y⁻⁶, giving your answer in the form xᵃyᵇ, where a and b are integers.
- (a)Simplify √x³y¹⁰ ÷ √x³y⁻⁶, giving your answer in the form xᵃyᵇ, where a and b are integers.[2]
- (b)(i)Show that 4(t − 2)³ + 5(t − 2)² can be written in the form (t − 2)ᵖ (qt + r), where p, q and r are constants to be found.[3]
- (b)(ii)Hence solve the equation 4(t − 2)³ + 5(t − 2)² = 0.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [B2] x³y⁷ B1 for each term
- [M1] for (t-2)¹ = (t-2)³ (t-2) soi
- [A1] (t-2)(4+5(t-2))
- [A1] (t-2)(5t-6)
- [B1] 2 and 6/5 FT on their (t-2) (5t-6), must have 2
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 →