2025 NASS PRELIMS P1 Q7

2025 NASS PRELIMS P1 Q7

Secondary 4
9 marks
2025 Ngee Ann Secondary School Prelims A Math Paper 1

When the function \(f(x)=2x^3+ax^2+bx+6\) is divided by \(x^2+x-2\), the remainder is \(4-8x\).

  1. Show that \(a=1\) and \(b=-13\).[3]
  2. Show that \((x-2)\) is a factor of \(f(x)\) and hence, solve \(f(x)=0\).[4]
  3. By using a suitable substitution, solve the equation \(6y^3-13y^2+y=-2\).[2]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:\(a=1,\ b=-13\) \(f(x)=0\Rightarrow x=2,\ \dfrac{1}{2},\ -3\) \(y=\dfrac{1}{2},\ 2,\ -\dfrac{1}{3}\)

Need help? Join our JC Math tuition classes.

Learn more