Given that f(x) = 2x³ − 5x² + ax + b, where a and b are constants, and that (x − 2) is a factor of f(x), and f(1) = −6:
(a) Find the values of a and b.
(b) Fully factorise f(x).
[7 marks]
Mathematics
Edexcel2023
x 2 y
(1)
x = y =
............................................................................. .............................................................................
(c) The precipitate formed when some of the mixtures are made is copper(II) hydroxide.
Write an ionic equation to show the formation of copper(II) hydroxide from its ions.
Include state symbols.
(2)
(Total for Question 4 = 8 marks)
Question
Mathematics
Edexcel2023
(1)
Question
Mathematics
Edexcel2023
CaSO −18 −43
Question
Mathematics
CAIE2022
Express x² − 6x + 11 in the form (x − a)² + b, where a and b are constants.
Hence state:
(a) the minimum value of x² − 6x + 11
(b) the value of x at which the minimum occurs.