2 marksFactor Theorem
CSEC Additional Mathematics · 2012 · Paper 2 · Question 1(b)
If x + 2 is a factor of f(x) = 2x³ - 3x² - 4x + a, find the value of a.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 1(a)(i)Determine the composition function g(f(x)).[1 mark]
- 1(a)(ii)State the range of g(f(x)).[1 mark]
- 1(a)(iii)Determine the inverse of g(f(x)).[2 marks]
- 1(c)Solve the equation 3^(2x) – 9(3^(-2x)) = 8.[5 marks]
- 1(d)(i)Express x³ = 10^(-3) in the form log₁₀x = ax + b.[2 marks]
- 1(d)(ii)Hence, state the value of the gradient of a graph of log₁₀x versus x.[1 mark]
More practice: the rest of this paper · more Factor Theorem questions · all CSEC Additional Mathematics past papers